GCD of 788, 869, 972, 118 Calculator

Given Input numbers are 788, 869, 972, 118

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

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 869

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

1, 11, 79, 869

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Greatest Common Divisior

We found the divisors of 788, 869, 972, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 788, 869, 972, 118 is 1.

Therefore, GCD of numbers 788, 869, 972, 118 is 1

Given Input Data is 788, 869, 972, 118

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

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 869 is 11 x 79

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 118 is 2 x 59

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(788, 869) = 684772

GCD(788, 869) = ( 788 x 869 ) / 684772

GCD(788, 869) = 684772 / 684772

GCD(788, 869) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 118

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

LCM(1, 118) = 118

GCD(1, 118) = ( 1 x 118 ) / 118

GCD(1, 118) = 118 / 118

GCD(1, 118) = 1

GCD of 788, 869, 972, 118 is 1

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1. What is the GCD of 788, 869, 972, 118?

GCD of 788, 869, 972, 118 is 1

2. Where do I get the detailed procedure to find GCD of 788, 869, 972, 118?

You can find a detailed procedure to find GCD of 788, 869, 972, 118 on our page.

3. How to find GCD of 788, 869, 972, 118 on a calculator?

You can find the GCD of 788, 869, 972, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.