GCD of 979, 783, 228, 174 Calculator

Given Input numbers are 979, 783, 228, 174

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

Divisors of 979

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

1, 11, 89, 979

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Greatest Common Divisior

We found the divisors of 979, 783, 228, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 979, 783, 228, 174 is 1.

Therefore, GCD of numbers 979, 783, 228, 174 is 1

Given Input Data is 979, 783, 228, 174

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

Prime Factorization of 979 is 11 x 89

Prime Factorization of 783 is 3 x 3 x 3 x 29

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 174 is 2 x 3 x 29

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(979, 783) = 766557

GCD(979, 783) = ( 979 x 783 ) / 766557

GCD(979, 783) = 766557 / 766557

GCD(979, 783) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 228

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

LCM(1, 228) = 228

GCD(1, 228) = ( 1 x 228 ) / 228

GCD(1, 228) = 228 / 228

GCD(1, 228) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 174

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

LCM(1, 174) = 174

GCD(1, 174) = ( 1 x 174 ) / 174

GCD(1, 174) = 174 / 174

GCD(1, 174) = 1

GCD of 979, 783, 228, 174 is 1

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1. What is the GCD of 979, 783, 228, 174?

GCD of 979, 783, 228, 174 is 1

2. Where do I get the detailed procedure to find GCD of 979, 783, 228, 174?

You can find a detailed procedure to find GCD of 979, 783, 228, 174 on our page.

3. How to find GCD of 979, 783, 228, 174 on a calculator?

You can find the GCD of 979, 783, 228, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.