GCD of 980, 544, 211, 157 Calculator

Given Input numbers are 980, 544, 211, 157

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

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

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 211

List of positive integer divisors of 211 that divides 211 without a remainder.

1, 211

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Greatest Common Divisior

We found the divisors of 980, 544, 211, 157 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 544, 211, 157 is 1.

Therefore, GCD of numbers 980, 544, 211, 157 is 1

Given Input Data is 980, 544, 211, 157

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

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

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

Prime Factorization of 211 is 211

Prime Factorization of 157 is 157

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(980, 544) = 133280

GCD(980, 544) = ( 980 x 544 ) / 133280

GCD(980, 544) = 533120 / 133280

GCD(980, 544) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 211

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

LCM(4, 211) = 844

GCD(4, 211) = ( 4 x 211 ) / 844

GCD(4, 211) = 844 / 844

GCD(4, 211) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 157

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

LCM(1, 157) = 157

GCD(1, 157) = ( 1 x 157 ) / 157

GCD(1, 157) = 157 / 157

GCD(1, 157) = 1

GCD of 980, 544, 211, 157 is 1

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1. What is the GCD of 980, 544, 211, 157?

GCD of 980, 544, 211, 157 is 1

2. Where do I get the detailed procedure to find GCD of 980, 544, 211, 157?

You can find a detailed procedure to find GCD of 980, 544, 211, 157 on our page.

3. How to find GCD of 980, 544, 211, 157 on a calculator?

You can find the GCD of 980, 544, 211, 157 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.