GCD of 180, 298, 979, 426 Calculator

Given Input numbers are 180, 298, 979, 426

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

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Greatest Common Divisior

We found the divisors of 180, 298, 979, 426 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 298, 979, 426 is 1.

Therefore, GCD of numbers 180, 298, 979, 426 is 1

Given Input Data is 180, 298, 979, 426

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

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 298 is 2 x 149

Prime Factorization of 979 is 11 x 89

Prime Factorization of 426 is 2 x 3 x 71

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(180, 298) = 26820

GCD(180, 298) = ( 180 x 298 ) / 26820

GCD(180, 298) = 53640 / 26820

GCD(180, 298) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 979

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

LCM(2, 979) = 1958

GCD(2, 979) = ( 2 x 979 ) / 1958

GCD(2, 979) = 1958 / 1958

GCD(2, 979) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 426

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

LCM(1, 426) = 426

GCD(1, 426) = ( 1 x 426 ) / 426

GCD(1, 426) = 426 / 426

GCD(1, 426) = 1

GCD of 180, 298, 979, 426 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 649, 516, 721, 457
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• GCD of 324, 853, 447, 927

1. What is the GCD of 180, 298, 979, 426?

GCD of 180, 298, 979, 426 is 1

2. Where do I get the detailed procedure to find GCD of 180, 298, 979, 426?

You can find a detailed procedure to find GCD of 180, 298, 979, 426 on our page.

3. How to find GCD of 180, 298, 979, 426 on a calculator?

You can find the GCD of 180, 298, 979, 426 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.