# The HCF and LCM of two numbers is 14 and 588 respectively. If the first number is 84, find the second one?

+1 vote
28 views
The HCF and LCM of two numbers is 14 and 588 respectively. If the first number is 84, find the second one?
posted Apr 27
Share this puzzle

## 1 Answer

0 votes

Let the 2 numbers be a & b.
a = 84 = 2^2 × 3 × 7
b = ? = 2 × 7 × y { because LCM = 14 = 2 × 7 }
HCF = 588 = 2^2 × 7 × 3 × y
y = 588/(4 × 7 × 3) = 7
Therefore b = 2 × 7^2 = 98

answer Apr 27

Similar Puzzles
+2 votes

Find three number such that?

• When we multiply three numbers, we will get prime number.
• The difference between second and the first number is equal to third and second.
0 votes

Two buses travel to a place at 45 kmph and 60 kmph respectively. If the second bus takes 11/2 hours less than the first for the journey, then what is the length of the journey?

+1 vote

Find a five-digit number in which the last number is the sum of the first, second, and third; the third is four less than the last; the fourth is two less than the last; and the first and fourth added are one less than the last. The last number is also three times the second.