GCD of 797, 709, 256, 752 Calculator

Given Input numbers are 797, 709, 256, 752

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

Divisors of 797

List of positive integer divisors of 797 that divides 797 without a remainder.

1, 797

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Greatest Common Divisior

We found the divisors of 797, 709, 256, 752 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 797, 709, 256, 752 is 1.

Therefore, GCD of numbers 797, 709, 256, 752 is 1

Given Input Data is 797, 709, 256, 752

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

Prime Factorization of 797 is 797

Prime Factorization of 709 is 709

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

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(797, 709) = 565073

GCD(797, 709) = ( 797 x 709 ) / 565073

GCD(797, 709) = 565073 / 565073

GCD(797, 709) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 256

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

LCM(1, 256) = 256

GCD(1, 256) = ( 1 x 256 ) / 256

GCD(1, 256) = 256 / 256

GCD(1, 256) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 752

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

LCM(1, 752) = 752

GCD(1, 752) = ( 1 x 752 ) / 752

GCD(1, 752) = 752 / 752

GCD(1, 752) = 1

GCD of 797, 709, 256, 752 is 1

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1. What is the GCD of 797, 709, 256, 752?

GCD of 797, 709, 256, 752 is 1

2. Where do I get the detailed procedure to find GCD of 797, 709, 256, 752?

You can find a detailed procedure to find GCD of 797, 709, 256, 752 on our page.

3. How to find GCD of 797, 709, 256, 752 on a calculator?

You can find the GCD of 797, 709, 256, 752 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.