GCD of 960, 109, 869, 796 Calculator

Given Input numbers are 960, 109, 869, 796

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

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Greatest Common Divisior

We found the divisors of 960, 109, 869, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 109, 869, 796 is 1.

Therefore, GCD of numbers 960, 109, 869, 796 is 1

Given Input Data is 960, 109, 869, 796

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

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

Prime Factorization of 109 is 109

Prime Factorization of 869 is 11 x 79

Prime Factorization of 796 is 2 x 2 x 199

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(960, 109) = 104640

GCD(960, 109) = ( 960 x 109 ) / 104640

GCD(960, 109) = 104640 / 104640

GCD(960, 109) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 869

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

LCM(1, 869) = 869

GCD(1, 869) = ( 1 x 869 ) / 869

GCD(1, 869) = 869 / 869

GCD(1, 869) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 796

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

LCM(1, 796) = 796

GCD(1, 796) = ( 1 x 796 ) / 796

GCD(1, 796) = 796 / 796

GCD(1, 796) = 1

GCD of 960, 109, 869, 796 is 1

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1. What is the GCD of 960, 109, 869, 796?

GCD of 960, 109, 869, 796 is 1

2. Where do I get the detailed procedure to find GCD of 960, 109, 869, 796?

You can find a detailed procedure to find GCD of 960, 109, 869, 796 on our page.

3. How to find GCD of 960, 109, 869, 796 on a calculator?

You can find the GCD of 960, 109, 869, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.