GCD of 879, 972, 195, 898 Calculator

Given Input numbers are 879, 972, 195, 898

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

Divisors of 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Greatest Common Divisior

We found the divisors of 879, 972, 195, 898 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 879, 972, 195, 898 is 1.

Therefore, GCD of numbers 879, 972, 195, 898 is 1

Given Input Data is 879, 972, 195, 898

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

Prime Factorization of 879 is 3 x 293

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 898 is 2 x 449

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(879, 972) = 284796

GCD(879, 972) = ( 879 x 972 ) / 284796

GCD(879, 972) = 854388 / 284796

GCD(879, 972) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 195

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

LCM(3, 195) = 195

GCD(3, 195) = ( 3 x 195 ) / 195

GCD(3, 195) = 585 / 195

GCD(3, 195) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 898

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

LCM(3, 898) = 2694

GCD(3, 898) = ( 3 x 898 ) / 2694

GCD(3, 898) = 2694 / 2694

GCD(3, 898) = 1

GCD of 879, 972, 195, 898 is 1

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1. What is the GCD of 879, 972, 195, 898?

GCD of 879, 972, 195, 898 is 1

2. Where do I get the detailed procedure to find GCD of 879, 972, 195, 898?

You can find a detailed procedure to find GCD of 879, 972, 195, 898 on our page.

3. How to find GCD of 879, 972, 195, 898 on a calculator?

You can find the GCD of 879, 972, 195, 898 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.