GCD of 537, 679, 780, 960 Calculator

Given Input numbers are 537, 679, 780, 960

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

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Greatest Common Divisior

We found the divisors of 537, 679, 780, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 537, 679, 780, 960 is 1.

Therefore, GCD of numbers 537, 679, 780, 960 is 1

Given Input Data is 537, 679, 780, 960

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

Prime Factorization of 537 is 3 x 179

Prime Factorization of 679 is 7 x 97

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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(537, 679) = 364623

GCD(537, 679) = ( 537 x 679 ) / 364623

GCD(537, 679) = 364623 / 364623

GCD(537, 679) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 780

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

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

GCD(1, 780) = 780 / 780

GCD(1, 780) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 960

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

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

GCD(1, 960) = 960 / 960

GCD(1, 960) = 1

GCD of 537, 679, 780, 960 is 1

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1. What is the GCD of 537, 679, 780, 960?

GCD of 537, 679, 780, 960 is 1

2. Where do I get the detailed procedure to find GCD of 537, 679, 780, 960?

You can find a detailed procedure to find GCD of 537, 679, 780, 960 on our page.

3. How to find GCD of 537, 679, 780, 960 on a calculator?

You can find the GCD of 537, 679, 780, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.