The hcf of two numbers is 113, their lcm is 56952. its one number is 904. the other number is

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The HCF of two numbers is 145 and their LCM is 2175. If one of the numbers is 725, find the other.

Solution

Sol:

HCF of two numbers = 145

LCM of two numbers = 2175

Let one of the two numbers be 725 and other be x.

Using the formula, Product of two numbers = HCF x LCM

We conclude that:

725. X = 145 $\times$ 2175

X= 145$\times$2175/725=435

Hence, the other number is 435.

Mathematics

Secondary School Mathematics X

Standard X

HCF of two numbers is 113, their LCM is 56952. If one number is 904, then other number

Posted by Abhisgj Hdhdk 3 years, 6 months ago

Given ,

HCF = 113

LCM = 56952

a = 904

b = ?

HCF ×LCM = a × b (Product of two numbers)

113 × 56952 = 904 × b

6435576 = 904 ×b

Therefore, b = 6435576 / 904

b = 7119

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