GCD of 286, 715, 557, 936 Calculator

Given Input numbers are 286, 715, 557, 936

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

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 715

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

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

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Greatest Common Divisior

We found the divisors of 286, 715, 557, 936 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 286, 715, 557, 936 is 1.

Therefore, GCD of numbers 286, 715, 557, 936 is 1

Given Input Data is 286, 715, 557, 936

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

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 557 is 557

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 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(286, 715) = 1430

GCD(286, 715) = ( 286 x 715 ) / 1430

GCD(286, 715) = 204490 / 1430

GCD(286, 715) = 143

Step2:

Here we consider the GCD from the above i.e. 143 as first number and the next as 557

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

LCM(143, 557) = 79651

GCD(143, 557) = ( 143 x 557 ) / 79651

GCD(143, 557) = 79651 / 79651

GCD(143, 557) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 936

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

LCM(1, 936) = 936

GCD(1, 936) = ( 1 x 936 ) / 936

GCD(1, 936) = 936 / 936

GCD(1, 936) = 1

GCD of 286, 715, 557, 936 is 1

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1. What is the GCD of 286, 715, 557, 936?

GCD of 286, 715, 557, 936 is 1

2. Where do I get the detailed procedure to find GCD of 286, 715, 557, 936?

You can find a detailed procedure to find GCD of 286, 715, 557, 936 on our page.

3. How to find GCD of 286, 715, 557, 936 on a calculator?

You can find the GCD of 286, 715, 557, 936 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.