GCD of 980, 958, 742, 129 Calculator

Given Input numbers are 980, 958, 742, 129

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 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Greatest Common Divisior

We found the divisors of 980, 958, 742, 129 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 958, 742, 129 is 1.

Therefore, GCD of numbers 980, 958, 742, 129 is 1

Given Input Data is 980, 958, 742, 129

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 958 is 2 x 479

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 129 is 3 x 43

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, 958) = 469420

GCD(980, 958) = ( 980 x 958 ) / 469420

GCD(980, 958) = 938840 / 469420

GCD(980, 958) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 742

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

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

GCD(2, 742) = 1484 / 742

GCD(2, 742) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 129

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

LCM(2, 129) = 258

GCD(2, 129) = ( 2 x 129 ) / 258

GCD(2, 129) = 258 / 258

GCD(2, 129) = 1

GCD of 980, 958, 742, 129 is 1

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1. What is the GCD of 980, 958, 742, 129?

GCD of 980, 958, 742, 129 is 1

2. Where do I get the detailed procedure to find GCD of 980, 958, 742, 129?

You can find a detailed procedure to find GCD of 980, 958, 742, 129 on our page.

3. How to find GCD of 980, 958, 742, 129 on a calculator?

You can find the GCD of 980, 958, 742, 129 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.