GCD of 525, 634, 253, 130 Calculator

Given Input numbers are 525, 634, 253, 130

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

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Greatest Common Divisior

We found the divisors of 525, 634, 253, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 525, 634, 253, 130 is 1.

Therefore, GCD of numbers 525, 634, 253, 130 is 1

Given Input Data is 525, 634, 253, 130

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

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 634 is 2 x 317

Prime Factorization of 253 is 11 x 23

Prime Factorization of 130 is 2 x 5 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(525, 634) = 332850

GCD(525, 634) = ( 525 x 634 ) / 332850

GCD(525, 634) = 332850 / 332850

GCD(525, 634) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 253

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

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

GCD(1, 253) = 253 / 253

GCD(1, 253) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 130

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

LCM(1, 130) = 130

GCD(1, 130) = ( 1 x 130 ) / 130

GCD(1, 130) = 130 / 130

GCD(1, 130) = 1

GCD of 525, 634, 253, 130 is 1

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1. What is the GCD of 525, 634, 253, 130?

GCD of 525, 634, 253, 130 is 1

2. Where do I get the detailed procedure to find GCD of 525, 634, 253, 130?

You can find a detailed procedure to find GCD of 525, 634, 253, 130 on our page.

3. How to find GCD of 525, 634, 253, 130 on a calculator?

You can find the GCD of 525, 634, 253, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.