HCF and LCM MCQs with Answers

Find the common factors of $30$, $45$, and $54$.

• A.$1, 3$
• B.$1, 3, 5$
• C.$1, 2, 3$
• D.$1, 3, 9$

The HCF of $20$, $48$ and $56$ is?

• A.$2$
• B.$8$
• C.$4$
• D.$12$

Find the minimum length of the ribbon which can be completely cut into pieces of length $45$ cm, $75$ cm, and $85$ cm without any leftover.

• A.$3825$ cm
• B.$1275$ cm
• C.$7650$ cm
• D.$2250$ cm

Which of the following numbers is exactly divisible by $3$, $5$, and $8$?

• A.$80$
• B.$100$
• C.$150$
• D.$120$

$(2,5)$, $(4,7)$, $(17,6)$ are examples of ?

• A.Twin primes
• B.Co-prime numbers
• C.Composite numbers
• D.Prime numbers

Find the greatest number that divides $36$, $44$, and $52$ completely.

• A.$2$
• B.$4$
• C.$6$
• D.$8$

If the LCM of two numbers is $72$, HCF is $3$, and the first number is $18$, the second number will be ?

• A.$12$
• B.$24$
• C.$6$
• D.$9$

For a science project preparation, grade 4 students visit the science laboratory after every 16 days, while grade 5 students visit the laboratory after every 30 days. If students of both grades visited the lab today, after how many days will they visit the laboratory on the same day again?

• A.After 120 days
• B.After 240 days
• C.After 480 days
• D.After 60 days

The product of two numbers is 330. If their H.C.F. is 11, then their L.C.M. is:

• A.$330$
• B.$33$
• C.$11$
• D.$30$

The LCM of two numbers is 456 and their HCF is 6. If one number is 24, find the other number.

• A.$120$
• B.$108$
• C.$96$
• D.$114$