GCD of 623, 405, 748, 979 Calculator

Given Input numbers are 623, 405, 748, 979

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

Divisors of 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 979

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

1, 11, 89, 979

Greatest Common Divisior

We found the divisors of 623, 405, 748, 979 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 623, 405, 748, 979 is 1.

Therefore, GCD of numbers 623, 405, 748, 979 is 1

Given Input Data is 623, 405, 748, 979

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

Prime Factorization of 623 is 7 x 89

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 979 is 11 x 89

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(623, 405) = 252315

GCD(623, 405) = ( 623 x 405 ) / 252315

GCD(623, 405) = 252315 / 252315

GCD(623, 405) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 979

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

LCM(1, 979) = 979

GCD(1, 979) = ( 1 x 979 ) / 979

GCD(1, 979) = 979 / 979

GCD(1, 979) = 1

GCD of 623, 405, 748, 979 is 1

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1. What is the GCD of 623, 405, 748, 979?

GCD of 623, 405, 748, 979 is 1

2. Where do I get the detailed procedure to find GCD of 623, 405, 748, 979?

You can find a detailed procedure to find GCD of 623, 405, 748, 979 on our page.

3. How to find GCD of 623, 405, 748, 979 on a calculator?

You can find the GCD of 623, 405, 748, 979 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.