GCD of 253, 961, 980 Calculator

Given Input numbers are 253, 961, 980

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

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Greatest Common Divisior

We found the divisors of 253, 961, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 253, 961, 980 is 1.

Therefore, GCD of numbers 253, 961, 980 is 1

Given Input Data is 253, 961, 980

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

Prime Factorization of 253 is 11 x 23

Prime Factorization of 961 is 31 x 31

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

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(253, 961) = 243133

GCD(253, 961) = ( 253 x 961 ) / 243133

GCD(253, 961) = 243133 / 243133

GCD(253, 961) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 980

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

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

GCD(1, 980) = 980 / 980

GCD(1, 980) = 1

GCD of 253, 961, 980 is 1

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1. What is the GCD of 253, 961, 980?

GCD of 253, 961, 980 is 1

2. Where do I get the detailed procedure to find GCD of 253, 961, 980?

You can find a detailed procedure to find GCD of 253, 961, 980 on our page.

3. How to find GCD of 253, 961, 980 on a calculator?

You can find the GCD of 253, 961, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.