GCD of 921, 345, 979, 574 Calculator

Given Input numbers are 921, 345, 979, 574

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

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 979

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

1, 11, 89, 979

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Greatest Common Divisior

We found the divisors of 921, 345, 979, 574 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 921, 345, 979, 574 is 1.

Therefore, GCD of numbers 921, 345, 979, 574 is 1

Given Input Data is 921, 345, 979, 574

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

Prime Factorization of 921 is 3 x 307

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 979 is 11 x 89

Prime Factorization of 574 is 2 x 7 x 41

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(921, 345) = 105915

GCD(921, 345) = ( 921 x 345 ) / 105915

GCD(921, 345) = 317745 / 105915

GCD(921, 345) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 979

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

LCM(3, 979) = 2937

GCD(3, 979) = ( 3 x 979 ) / 2937

GCD(3, 979) = 2937 / 2937

GCD(3, 979) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 574

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

LCM(1, 574) = 574

GCD(1, 574) = ( 1 x 574 ) / 574

GCD(1, 574) = 574 / 574

GCD(1, 574) = 1

GCD of 921, 345, 979, 574 is 1

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1. What is the GCD of 921, 345, 979, 574?

GCD of 921, 345, 979, 574 is 1

2. Where do I get the detailed procedure to find GCD of 921, 345, 979, 574?

You can find a detailed procedure to find GCD of 921, 345, 979, 574 on our page.

3. How to find GCD of 921, 345, 979, 574 on a calculator?

You can find the GCD of 921, 345, 979, 574 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.