GCD of 920, 257, 972 Calculator

Given Input numbers are 920, 257, 972

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

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 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

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

Greatest Common Divisior

We found the divisors of 920, 257, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 257, 972 is 1.

Therefore, GCD of numbers 920, 257, 972 is 1

Given Input Data is 920, 257, 972

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

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

Prime Factorization of 257 is 257

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

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(920, 257) = 236440

GCD(920, 257) = ( 920 x 257 ) / 236440

GCD(920, 257) = 236440 / 236440

GCD(920, 257) = 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

GCD of 920, 257, 972 is 1

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1. What is the GCD of 920, 257, 972?

GCD of 920, 257, 972 is 1

2. Where do I get the detailed procedure to find GCD of 920, 257, 972?

You can find a detailed procedure to find GCD of 920, 257, 972 on our page.

3. How to find GCD of 920, 257, 972 on a calculator?

You can find the GCD of 920, 257, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.