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HCF and LCM MCQs

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HCF and LCM

HCF and LCM MCQs With Answers

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CSS - PMS - CCE - PCS - Mathematics HCF and LCM
What is the greatest possible length of equal pieces that can exactly divide lengths 69 cm and 93 cm?
A. 3 cm
B. 93 cm
C. 162 cm
D. 2139 cm
Correct Answer: A
The greatest equal length is the HCF of 69 and 93, which is 3 cm.
CSS - PMS - CCE - PCS - Mathematics HCF and LCM
What is the least positive number exactly divisible by both 66 and 88?
A. 22
B. 264
C. 154
D. 5808
Correct Answer: B
The least common multiple is 264.
CSS - PMS - CCE - PCS - Mathematics HCF and LCM
The HCF of two numbers is 1 and their LCM is 5229. If one number is 63, what is the other number?
A. 83
B. 5229
C. 1
D. 63
Correct Answer: A
Product of two numbers = HCF × LCM. Other number = 1×5229/63 = 83.
CSS - PMS - CCE - PCS - Mathematics HCF and LCM
Find the LCM of 60 and 78.
A. 4680
B. 780
C. 6
D. 786
Correct Answer: B
LCM(60,78) = 780.
CSS - PMS - CCE - PCS - Mathematics HCF and LCM
Find the HCF of 57 and 73.
A. 4161
B. 2
C. 1
D. 3
Correct Answer: C
The greatest integer dividing both 57 and 73 is 1.
CSS - PMS - CCE - PCS - Mathematics HCF and LCM
What is the greatest possible length of equal pieces that can exactly divide lengths 54 cm and 68 cm?
A. 68 cm
B. 2 cm
C. 122 cm
D. 1836 cm
Correct Answer: B
The greatest equal length is the HCF of 54 and 68, which is 2 cm.
CSS - PMS - CCE - PCS - Mathematics HCF and LCM
What is the least positive number exactly divisible by both 51 and 63?
A. 3
B. 114
C. 1071
D. 3213
Correct Answer: C
The least common multiple is 1071.
CSS - PMS - CCE - PCS - Mathematics HCF and LCM
The HCF of two numbers is 2 and their LCM is 1392. If one number is 48, what is the other number?
A. 1392
B. 48
C. 58
D. 2
Correct Answer: C
Product of two numbers = HCF × LCM. Other number = 2×1392/48 = 58.
CSS - PMS - CCE - PCS - Mathematics HCF and LCM
Find the LCM of 45 and 53.
A. 2385
B. 1
C. 2387
D. 2386
Correct Answer: A
LCM(45,53) = 2385.
CSS - PMS - CCE - PCS - Mathematics HCF and LCM
Find the HCF of 42 and 48.
A. 6
B. 8
C. 5
D. 336
Correct Answer: A
The greatest integer dividing both 42 and 48 is 6.
CSS - PMS - CCE - PCS - Mathematics HCF and LCM
What is the greatest possible length of equal pieces that can exactly divide lengths 39 cm and 43 cm?
A. 1 cm
B. 43 cm
C. 1677 cm
D. 82 cm
Correct Answer: A
The greatest equal length is the HCF of 39 and 43, which is 1 cm.
CSS - PMS - CCE - PCS - Mathematics HCF and LCM
What is the least positive number exactly divisible by both 36 and 38?
A. 2
B. 684
C. 1368
D. 74
Correct Answer: B
The least common multiple is 684.
CSS - PMS - CCE - PCS - Mathematics HCF and LCM
The HCF of two numbers is 33 and their LCM is 33. If one number is 33, what is the other number?
A. 33
B. 36
C. 35
D. 34
Correct Answer: A
Product of two numbers = HCF × LCM. Other number = 33×33/33 = 33.
CSS - PMS - CCE - PCS - Mathematics HCF and LCM
Find the LCM of 30 and 28.
A. 420
B. 2
C. 840
D. 422
Correct Answer: A
LCM(30,28) = 420.
CSS - PMS - CCE - PCS - Mathematics HCF and LCM
Find the HCF of 27 and 23.
A. 2
B. 621
C. 3
D. 1
Correct Answer: D
The greatest integer dividing both 27 and 23 is 1.
CSS - PMS - CCE - PCS - Mathematics HCF and LCM
What is the greatest possible length of equal pieces that can exactly divide lengths 24 cm and 18 cm?
A. 24 cm
B. 42 cm
C. 72 cm
D. 6 cm
Correct Answer: D
The greatest equal length is the HCF of 24 and 18, which is 6 cm.
CSS - PMS - CCE - PCS - Mathematics HCF and LCM
What is the least positive number exactly divisible by both 21 and 93?
A. 1953
B. 114
C. 3
D. 651
Correct Answer: D
The least common multiple is 651.
CSS - PMS - CCE - PCS - Mathematics HCF and LCM
The HCF of two numbers is 2 and their LCM is 792. If one number is 18, what is the other number?
A. 792
B. 88
C. 18
D. 2
Correct Answer: B
Product of two numbers = HCF × LCM. Other number = 2×792/18 = 88.
CSS - PMS - CCE - PCS - Mathematics HCF and LCM
Find the LCM of 15 and 83.
A. 1245
B. 1247
C. 1
D. 1246
Correct Answer: A
LCM(15,83) = 1245.
CSS - PMS - CCE - PCS - Mathematics HCF and LCM
Find the HCF of 12 and 78.
A. 5
B. 8
C. 156
D. 6
Correct Answer: D
The greatest integer dividing both 12 and 78 is 6.
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