GCD of 138, 980, 657, 377 Calculator

Given Input numbers are 138, 980, 657, 377

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

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

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 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Greatest Common Divisior

We found the divisors of 138, 980, 657, 377 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 980, 657, 377 is 1.

Therefore, GCD of numbers 138, 980, 657, 377 is 1

Given Input Data is 138, 980, 657, 377

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

Prime Factorization of 138 is 2 x 3 x 23

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

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 377 is 13 x 29

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(138, 980) = 67620

GCD(138, 980) = ( 138 x 980 ) / 67620

GCD(138, 980) = 135240 / 67620

GCD(138, 980) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 657

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

LCM(2, 657) = 1314

GCD(2, 657) = ( 2 x 657 ) / 1314

GCD(2, 657) = 1314 / 1314

GCD(2, 657) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 377

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

LCM(1, 377) = 377

GCD(1, 377) = ( 1 x 377 ) / 377

GCD(1, 377) = 377 / 377

GCD(1, 377) = 1

GCD of 138, 980, 657, 377 is 1

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1. What is the GCD of 138, 980, 657, 377?

GCD of 138, 980, 657, 377 is 1

2. Where do I get the detailed procedure to find GCD of 138, 980, 657, 377?

You can find a detailed procedure to find GCD of 138, 980, 657, 377 on our page.

3. How to find GCD of 138, 980, 657, 377 on a calculator?

You can find the GCD of 138, 980, 657, 377 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.