GCD of 786, 979, 37, 738 Calculator

Given Input numbers are 786, 979, 37, 738

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

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 786, 979, 37, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 786, 979, 37, 738 is 1.

Therefore, GCD of numbers 786, 979, 37, 738 is 1

Given Input Data is 786, 979, 37, 738

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

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 979 is 11 x 89

Prime Factorization of 37 is 37

Prime Factorization of 738 is 2 x 3 x 3 x 41

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(786, 979) = 769494

GCD(786, 979) = ( 786 x 979 ) / 769494

GCD(786, 979) = 769494 / 769494

GCD(786, 979) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 37

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

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

GCD(1, 37) = 37 / 37

GCD(1, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

GCD of 786, 979, 37, 738 is 1

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1. What is the GCD of 786, 979, 37, 738?

GCD of 786, 979, 37, 738 is 1

2. Where do I get the detailed procedure to find GCD of 786, 979, 37, 738?

You can find a detailed procedure to find GCD of 786, 979, 37, 738 on our page.

3. How to find GCD of 786, 979, 37, 738 on a calculator?

You can find the GCD of 786, 979, 37, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.