GCD of 135, 524, 868, 642 Calculator

Given Input numbers are 135, 524, 868, 642

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

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

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 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Greatest Common Divisior

We found the divisors of 135, 524, 868, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 524, 868, 642 is 1.

Therefore, GCD of numbers 135, 524, 868, 642 is 1

Given Input Data is 135, 524, 868, 642

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

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 524 is 2 x 2 x 131

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

Prime Factorization of 642 is 2 x 3 x 107

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(135, 524) = 70740

GCD(135, 524) = ( 135 x 524 ) / 70740

GCD(135, 524) = 70740 / 70740

GCD(135, 524) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 868

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

LCM(1, 868) = 868

GCD(1, 868) = ( 1 x 868 ) / 868

GCD(1, 868) = 868 / 868

GCD(1, 868) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 642

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

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

GCD(1, 642) = 642 / 642

GCD(1, 642) = 1

GCD of 135, 524, 868, 642 is 1

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1. What is the GCD of 135, 524, 868, 642?

GCD of 135, 524, 868, 642 is 1

2. Where do I get the detailed procedure to find GCD of 135, 524, 868, 642?

You can find a detailed procedure to find GCD of 135, 524, 868, 642 on our page.

3. How to find GCD of 135, 524, 868, 642 on a calculator?

You can find the GCD of 135, 524, 868, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.