GCD of 538, 653, 76, 964 Calculator

Given Input numbers are 538, 653, 76, 964

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

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Greatest Common Divisior

We found the divisors of 538, 653, 76, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 653, 76, 964 is 1.

Therefore, GCD of numbers 538, 653, 76, 964 is 1

Given Input Data is 538, 653, 76, 964

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 653 is 653

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 964 is 2 x 2 x 241

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(538, 653) = 351314

GCD(538, 653) = ( 538 x 653 ) / 351314

GCD(538, 653) = 351314 / 351314

GCD(538, 653) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 964

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

LCM(1, 964) = 964

GCD(1, 964) = ( 1 x 964 ) / 964

GCD(1, 964) = 964 / 964

GCD(1, 964) = 1

GCD of 538, 653, 76, 964 is 1

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1. What is the GCD of 538, 653, 76, 964?

GCD of 538, 653, 76, 964 is 1

2. Where do I get the detailed procedure to find GCD of 538, 653, 76, 964?

You can find a detailed procedure to find GCD of 538, 653, 76, 964 on our page.

3. How to find GCD of 538, 653, 76, 964 on a calculator?

You can find the GCD of 538, 653, 76, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.