GCD of 974, 838, 679 Calculator

Given Input numbers are 974, 838, 679

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

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Greatest Common Divisior

We found the divisors of 974, 838, 679 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 838, 679 is 1.

Therefore, GCD of numbers 974, 838, 679 is 1

Given Input Data is 974, 838, 679

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 838 is 2 x 419

Prime Factorization of 679 is 7 x 97

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(974, 838) = 408106

GCD(974, 838) = ( 974 x 838 ) / 408106

GCD(974, 838) = 816212 / 408106

GCD(974, 838) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 679

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

LCM(2, 679) = 1358

GCD(2, 679) = ( 2 x 679 ) / 1358

GCD(2, 679) = 1358 / 1358

GCD(2, 679) = 1

GCD of 974, 838, 679 is 1

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1. What is the GCD of 974, 838, 679?

GCD of 974, 838, 679 is 1

2. Where do I get the detailed procedure to find GCD of 974, 838, 679?

You can find a detailed procedure to find GCD of 974, 838, 679 on our page.

3. How to find GCD of 974, 838, 679 on a calculator?

You can find the GCD of 974, 838, 679 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.