GCD of 980, 902, 695, 378 Calculator

Given Input numbers are 980, 902, 695, 378

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 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Greatest Common Divisior

We found the divisors of 980, 902, 695, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 902, 695, 378 is 1.

Therefore, GCD of numbers 980, 902, 695, 378 is 1

Given Input Data is 980, 902, 695, 378

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 902 is 2 x 11 x 41

Prime Factorization of 695 is 5 x 139

Prime Factorization of 378 is 2 x 3 x 3 x 3 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(980, 902) = 441980

GCD(980, 902) = ( 980 x 902 ) / 441980

GCD(980, 902) = 883960 / 441980

GCD(980, 902) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 695

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

LCM(2, 695) = 1390

GCD(2, 695) = ( 2 x 695 ) / 1390

GCD(2, 695) = 1390 / 1390

GCD(2, 695) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 378

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

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

GCD(1, 378) = 378 / 378

GCD(1, 378) = 1

GCD of 980, 902, 695, 378 is 1

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1. What is the GCD of 980, 902, 695, 378?

GCD of 980, 902, 695, 378 is 1

2. Where do I get the detailed procedure to find GCD of 980, 902, 695, 378?

You can find a detailed procedure to find GCD of 980, 902, 695, 378 on our page.

3. How to find GCD of 980, 902, 695, 378 on a calculator?

You can find the GCD of 980, 902, 695, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.