GCD of 756, 175, 98, 715 Calculator

Given Input numbers are 756, 175, 98, 715

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Greatest Common Divisior

We found the divisors of 756, 175, 98, 715 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 175, 98, 715 is 1.

Therefore, GCD of numbers 756, 175, 98, 715 is 1

Given Input Data is 756, 175, 98, 715

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 715 is 5 x 11 x 13

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(756, 175) = 18900

GCD(756, 175) = ( 756 x 175 ) / 18900

GCD(756, 175) = 132300 / 18900

GCD(756, 175) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 98

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(7, 98) = 98

GCD(7, 98) = ( 7 x 98 ) / 98

GCD(7, 98) = 686 / 98

GCD(7, 98) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 715

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(7, 715) = 5005

GCD(7, 715) = ( 7 x 715 ) / 5005

GCD(7, 715) = 5005 / 5005

GCD(7, 715) = 1

GCD of 756, 175, 98, 715 is 1

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1. What is the GCD of 756, 175, 98, 715?

GCD of 756, 175, 98, 715 is 1

2. Where do I get the detailed procedure to find GCD of 756, 175, 98, 715?

You can find a detailed procedure to find GCD of 756, 175, 98, 715 on our page.

3. How to find GCD of 756, 175, 98, 715 on a calculator?

You can find the GCD of 756, 175, 98, 715 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.