HCF And LCM Quiz
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Hey, are you a math geek? If yes, then let's test your knowledge with these simple HCF and LCM quiz questions. Choose the correct answer and see how well you score. Do not forget to share this quiz with your friends! All the best.
- 1.
What is the HCF of 12 and 66?
- A.
13
- B.
1
- C.
6
- D.
11
- E.
3
Correct Answer
C. 6Explanation
The HCF (Highest Common Factor) of 12 and 66 is 6. HCF is the largest number that divides both given numbers evenly. In this case, 6 is the largest number that can divide both 12 and 66 without leaving any remainder. Therefore, 6 is the correct answer.Rate this question:
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- 2.
What is the HCF of 6 and 15?
- A.
1
- B.
3
- C.
2
- D.
11
- E.
6
Correct Answer
B. 3Explanation
The highest common factor (HCF) of two numbers is the largest number that divides both of them without leaving a remainder. In this case, the factors of 6 are 1, 2, 3, and 6, while the factors of 15 are 1, 3, 5, and 15. The largest number that appears in both lists is 3, so it is the HCF of 6 and 15.Rate this question:
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- 3.
What does HCF stand for?
- A.
Heaviest Common Factor
- B.
Highest Common Factor
- C.
Heaviest and Craziest Factor
- D.
Hopelessly Crazed Friend
Correct Answer
B. Highest Common FactorExplanation
HCF stands for Highest Common Factor. It is a mathematical term used to denote the largest number that divides two or more numbers without leaving a remainder. It is also known as the Greatest Common Divisor (GCD).Rate this question:
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- 4.
What is the HCF of 15 and 50?
- A.
3
- B.
10
- C.
6
- D.
2
- E.
5
Correct Answer
E. 5Explanation
The highest common factor (HCF) is the largest number that divides both 15 and 50 without leaving a remainder. To find the HCF, we can list the factors of each number. The factors of 15 are 1, 3, 5, and 15. The factors of 50 are 1, 2, 5, 10, 25, and 50. The largest number that appears in both lists is 5, so the HCF of 15 and 50 is 5.Rate this question:
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- 5.
What is the HCF of 39 and 52?
- A.
1
- B.
26
- C.
3
- D.
13
- E.
11
Correct Answer
D. 13Explanation
To find the Highest Common Factor (HCF) of 39 and 52, follow these steps:
Prime Factorization:
39 = 3 × 13
52 = 2 × 2 × 13
Identify the common factors:
Both 39 and 52 have the common factor of 13.
Therefore, the HCF of 39 and 52 is 13.Rate this question:
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- 6.
What is the LCM of 8 and 10?
- A.
2
- B.
3
- C.
4
- D.
5
- E.
40
Correct Answer
E. 40Explanation
The LCM (Least Common Multiple) is the smallest number that is a multiple of both 8 and 10. To find it, we can list the multiples of 8 and 10 and find the smallest number that appears in both lists. The multiples of 8 are 8, 16, 24, 32, 40, ... and the multiples of 10 are 10, 20, 30, 40, .... The smallest number that appears in both lists is 40, so the LCM of 8 and 10 is 40.Rate this question:
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- 7.
What does LCM stand for?
- A.
Least common factor
- B.
Lowest common factor
- C.
Least common multiple
Correct Answer
C. Least common multipleExplanation
LCM stands for Least Common Multiple. The LCM is the smallest multiple that two or more numbers have in common. It is used to find the smallest common multiple when dealing with fractions or finding a common denominator.Rate this question:
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- 8.
What is the LCM of 24 and 36?
- A.
72
- B.
12
- C.
16
- D.
14
Correct Answer
A. 72Explanation
The LCM (Least Common Multiple) of two numbers is the smallest number that is divisible by both of them without leaving a remainder. To find the LCM of 24 and 36, we can list the multiples of both numbers and find the smallest common multiple. The multiples of 24 are 24, 48, 72, 96, 120, 144, ... and the multiples of 36 are 36, 72, 108, 144, 180, 216, ... The smallest common multiple is 72, which means that 72 is the LCM of 24 and 36.Rate this question:
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- 9.
What is the LCM of 44 and 62?
- A.
84
- B.
1364
- C.
1200
Correct Answer
B. 1364Explanation
Prime Factorization:
44 = 2 × 2 × 11
62 = 2 × 31
Identify the highest powers of all prime factors:
The prime factors are 2, 11, and 31.
The highest powers of these factors are:
2^2 (from 44)
11 (from 44)
31 (from 62)
Multiply the highest powers of all prime factors:
LCM = 2^2 × 11 × 31
LCM = 4 × 11 × 31 = 1364Rate this question:
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- 10.
What is the LCM of 32 and 72?
- A.
1436
- B.
288
- C.
1240
- D.
428
Correct Answer
B. 288Explanation
To find the least common multiple (LCM) of 32 and 72, we can use the following steps:
Prime Factorization: Find the prime factors of each number:
32 = 2 x 2 x 2 x 2 x 2 = 2^5
72 = 2 x 2 x 2 x 3 x 3 = 2^3 x 3^2
Identify Common and Uncommon Factors: Both numbers have 2 as a common prime factor. 32 has more 2's, and 72 has 3's.
Calculate the LCM: Take the highest power of each prime factor present in the factorizations: 2^5 x 3^2 = 32 x 9 = 288
Therefore, the LCM of 32 and 72 is 288.Rate this question:
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Dec 15, 2024Quiz Edited by
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Expert Reviewed by
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Dec 15, 2009Quiz Created by
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