GCD of 790, 457, 972, 617 Calculator

Given Input numbers are 790, 457, 972, 617

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

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

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 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Greatest Common Divisior

We found the divisors of 790, 457, 972, 617 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 790, 457, 972, 617 is 1.

Therefore, GCD of numbers 790, 457, 972, 617 is 1

Given Input Data is 790, 457, 972, 617

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

Prime Factorization of 790 is 2 x 5 x 79

Prime Factorization of 457 is 457

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

Prime Factorization of 617 is 617

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(790, 457) = 361030

GCD(790, 457) = ( 790 x 457 ) / 361030

GCD(790, 457) = 361030 / 361030

GCD(790, 457) = 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 617

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

LCM(1, 617) = 617

GCD(1, 617) = ( 1 x 617 ) / 617

GCD(1, 617) = 617 / 617

GCD(1, 617) = 1

GCD of 790, 457, 972, 617 is 1

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1. What is the GCD of 790, 457, 972, 617?

GCD of 790, 457, 972, 617 is 1

2. Where do I get the detailed procedure to find GCD of 790, 457, 972, 617?

You can find a detailed procedure to find GCD of 790, 457, 972, 617 on our page.

3. How to find GCD of 790, 457, 972, 617 on a calculator?

You can find the GCD of 790, 457, 972, 617 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.