GCD of 787, 518, 869, 957 Calculator

Given Input numbers are 787, 518, 869, 957

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

Divisors of 787

List of positive integer divisors of 787 that divides 787 without a remainder.

1, 787

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 869

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

1, 11, 79, 869

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Greatest Common Divisior

We found the divisors of 787, 518, 869, 957 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 787, 518, 869, 957 is 1.

Therefore, GCD of numbers 787, 518, 869, 957 is 1

Given Input Data is 787, 518, 869, 957

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

Prime Factorization of 787 is 787

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 869 is 11 x 79

Prime Factorization of 957 is 3 x 11 x 29

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(787, 518) = 407666

GCD(787, 518) = ( 787 x 518 ) / 407666

GCD(787, 518) = 407666 / 407666

GCD(787, 518) = 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 957

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

LCM(1, 957) = 957

GCD(1, 957) = ( 1 x 957 ) / 957

GCD(1, 957) = 957 / 957

GCD(1, 957) = 1

GCD of 787, 518, 869, 957 is 1

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1. What is the GCD of 787, 518, 869, 957?

GCD of 787, 518, 869, 957 is 1

2. Where do I get the detailed procedure to find GCD of 787, 518, 869, 957?

You can find a detailed procedure to find GCD of 787, 518, 869, 957 on our page.

3. How to find GCD of 787, 518, 869, 957 on a calculator?

You can find the GCD of 787, 518, 869, 957 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.