Question

The HCF of two numbers are 245and their LCM is 2175 .if one of the numbers is 435.find the othernumber​

Answer 1

Answer: Relation between HCF and LCM of two number a and b is

Product of two number = HCF × LCM

According to the given problem,

HCF = 145

LCM =2175

One number = a

Let the second number = b

a×b = HCF × LCM

b = ( HCF × LCM ) / a

b = (145×2175) / a

b = ( 145 × 3 × 725 ) / 725

We have to the cancellation

After the cancellation,

b = 145 × 3

b = 435

So, the second number is

b = 435

Step-by-step explanation:

Hope this might help you

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Answer 2

Answer :-

1225.

Explanation :-

Given :

• HCF of two numbers = 245.
• LCM of two numbers = 2175.
• One of the number = 435.

To Find :

• Another Number.

Solution :

Let, the another number be x.

We know that,

Product of numbers = HCF × LCM.

According to the Question,

➠ 435x = 245 × 2175.

➠ 435x = 532875.

➠ x = 532875 ÷ 435.

➠ x = 1225.

Therefore, Another Number = 1225.