The HCF and LCM of two numbers are 8 and 504 respectively one of the numbers is 72 find the other number
Let the numbers be A and B.
A basic formula:
A * B = HCF * LCM
In this case:
A * B = 8 * 504
A * B = 4032
If one of the numbers = 72, the other number = 4032 / 72 = 56
The numbers are 56 and 72
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To find the other number, we can use the formula relating the highest common factor (HCF) and the least common multiple (LCM) of two numbers:
LCM × HCF = Product of the two numbers
Given that the HCF is 8 and the LCM is 504, and one of the numbers is 72, we can substitute these values into the formula:
504 × 8 = 72 × Other Number
To find the other number, we can rearrange the equation:
Other Number = (504 × 8) / 72
Calculating this, we get:
Other Number = 56
Therefore, the other number is 56.