GCD of 397, 920, 292, 617 Calculator

Given Input numbers are 397, 920, 292, 617

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

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

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 397, 920, 292, 617 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 397, 920, 292, 617 is 1.

Therefore, GCD of numbers 397, 920, 292, 617 is 1

Given Input Data is 397, 920, 292, 617

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

Prime Factorization of 397 is 397

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 292 is 2 x 2 x 73

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(397, 920) = 365240

GCD(397, 920) = ( 397 x 920 ) / 365240

GCD(397, 920) = 365240 / 365240

GCD(397, 920) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 292

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

LCM(1, 292) = 292

GCD(1, 292) = ( 1 x 292 ) / 292

GCD(1, 292) = 292 / 292

GCD(1, 292) = 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 397, 920, 292, 617 is 1

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1. What is the GCD of 397, 920, 292, 617?

GCD of 397, 920, 292, 617 is 1

2. Where do I get the detailed procedure to find GCD of 397, 920, 292, 617?

You can find a detailed procedure to find GCD of 397, 920, 292, 617 on our page.

3. How to find GCD of 397, 920, 292, 617 on a calculator?

You can find the GCD of 397, 920, 292, 617 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.