GCD of 291, 348, 36, 980 Calculator

Given Input numbers are 291, 348, 36, 980

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

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

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 291, 348, 36, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 291, 348, 36, 980 is 1.

Therefore, GCD of numbers 291, 348, 36, 980 is 1

Given Input Data is 291, 348, 36, 980

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

Prime Factorization of 291 is 3 x 97

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 36 is 2 x 2 x 3 x 3

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(291, 348) = 33756

GCD(291, 348) = ( 291 x 348 ) / 33756

GCD(291, 348) = 101268 / 33756

GCD(291, 348) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 36

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

LCM(3, 36) = 36

GCD(3, 36) = ( 3 x 36 ) / 36

GCD(3, 36) = 108 / 36

GCD(3, 36) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 980

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

LCM(3, 980) = 2940

GCD(3, 980) = ( 3 x 980 ) / 2940

GCD(3, 980) = 2940 / 2940

GCD(3, 980) = 1

GCD of 291, 348, 36, 980 is 1

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1. What is the GCD of 291, 348, 36, 980?

GCD of 291, 348, 36, 980 is 1

2. Where do I get the detailed procedure to find GCD of 291, 348, 36, 980?

You can find a detailed procedure to find GCD of 291, 348, 36, 980 on our page.

3. How to find GCD of 291, 348, 36, 980 on a calculator?

You can find the GCD of 291, 348, 36, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.