Curioustab

Home » Aptitude » Problems on H.C.F and L.C.M

Three numbers are in the ratio of 3 : 4 : 5 and their LCM is 1200. Find the HCF of the numbers?

40
30
80
20

Correct Answer: 20

Explanation:

Let the numbers are 3N, 4N and 5N.
Where, N = HCF
Then, LCM = 60N
According to the question,
60N = 1200
∴ N = 20

← Previous Question Next Question→

More Questions from Problems on H.C.F and L.C.M

Four numbers are in the ratio of 10 : 12 : 15 : 18. If their HCF is 3, then find their LCM.
If the HCF of a and b are 12 and a, b are positive integers and a > b > 12, then what will be the values of a and b?
The sum of HCF and LCM of two numbers is 403 and their LCM is 12 times their HCF. If one number is 93, then find the another number.
The LCM of two numbers is 20 times of their HCF and (LCM + HCF) = 2520. If one number is 480, what will be the triple of another number?
Find the greatest number that divides 130, 305 and 245 leaving remainders 6, 9 and 17, respectively?
Find the least number which when divided by 16, 18 and 20 leaves a remainder 4 in each case, but is completely divisible by 7.
Three runners running around a circular track can complete one revolution in 2, 4 and 5.5 respectively. When will they meet at starting point?
Find the two numbers whose L.C.M. is 1188 and H.C.F. is 9?
In a school 391 boys and 323 girls have been divided into the largest possible equal classes. So that there are equal number of boys and girls in each class. What is the number of classes?
The product of two number is 7168 and their H.C.F. is 16. find the sum of all possible numbers?

Discussion & Comments

No comments yet. Be the first to comment!

Join Discussion