GCD of 957, 900, 868, 525 Calculator

Given Input numbers are 957, 900, 868, 525

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

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

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

Greatest Common Divisior

We found the divisors of 957, 900, 868, 525 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 957, 900, 868, 525 is 1.

Therefore, GCD of numbers 957, 900, 868, 525 is 1

Given Input Data is 957, 900, 868, 525

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

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 868 is 2 x 2 x 7 x 31

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

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(957, 900) = 287100

GCD(957, 900) = ( 957 x 900 ) / 287100

GCD(957, 900) = 861300 / 287100

GCD(957, 900) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 868

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

LCM(3, 868) = 2604

GCD(3, 868) = ( 3 x 868 ) / 2604

GCD(3, 868) = 2604 / 2604

GCD(3, 868) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 525

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

LCM(1, 525) = 525

GCD(1, 525) = ( 1 x 525 ) / 525

GCD(1, 525) = 525 / 525

GCD(1, 525) = 1

GCD of 957, 900, 868, 525 is 1

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1. What is the GCD of 957, 900, 868, 525?

GCD of 957, 900, 868, 525 is 1

2. Where do I get the detailed procedure to find GCD of 957, 900, 868, 525?

You can find a detailed procedure to find GCD of 957, 900, 868, 525 on our page.

3. How to find GCD of 957, 900, 868, 525 on a calculator?

You can find the GCD of 957, 900, 868, 525 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.