GCD of 980, 304, 51, 657 Calculator

Given Input numbers are 980, 304, 51, 657

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 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 657

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

1, 3, 9, 73, 219, 657

Greatest Common Divisior

We found the divisors of 980, 304, 51, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 304, 51, 657 is 1.

Therefore, GCD of numbers 980, 304, 51, 657 is 1

Given Input Data is 980, 304, 51, 657

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 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 51 is 3 x 17

Prime Factorization of 657 is 3 x 3 x 73

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, 304) = 74480

GCD(980, 304) = ( 980 x 304 ) / 74480

GCD(980, 304) = 297920 / 74480

GCD(980, 304) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 51

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

LCM(4, 51) = 204

GCD(4, 51) = ( 4 x 51 ) / 204

GCD(4, 51) = 204 / 204

GCD(4, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 657

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

LCM(1, 657) = 657

GCD(1, 657) = ( 1 x 657 ) / 657

GCD(1, 657) = 657 / 657

GCD(1, 657) = 1

GCD of 980, 304, 51, 657 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 823, 150, 52, 827
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• GCD of 771, 862, 81, 491
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• GCD of 311, 559, 32, 759

1. What is the GCD of 980, 304, 51, 657?

GCD of 980, 304, 51, 657 is 1

2. Where do I get the detailed procedure to find GCD of 980, 304, 51, 657?

You can find a detailed procedure to find GCD of 980, 304, 51, 657 on our page.

3. How to find GCD of 980, 304, 51, 657 on a calculator?

You can find the GCD of 980, 304, 51, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.