GCD of 518, 674, 107, 971 Calculator

Given Input numbers are 518, 674, 107, 971

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

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Greatest Common Divisior

We found the divisors of 518, 674, 107, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 674, 107, 971 is 1.

Therefore, GCD of numbers 518, 674, 107, 971 is 1

Given Input Data is 518, 674, 107, 971

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

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 674 is 2 x 337

Prime Factorization of 107 is 107

Prime Factorization of 971 is 971

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(518, 674) = 174566

GCD(518, 674) = ( 518 x 674 ) / 174566

GCD(518, 674) = 349132 / 174566

GCD(518, 674) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 107

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

LCM(2, 107) = 214

GCD(2, 107) = ( 2 x 107 ) / 214

GCD(2, 107) = 214 / 214

GCD(2, 107) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 971

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

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

GCD(1, 971) = 971 / 971

GCD(1, 971) = 1

GCD of 518, 674, 107, 971 is 1

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1. What is the GCD of 518, 674, 107, 971?

GCD of 518, 674, 107, 971 is 1

2. Where do I get the detailed procedure to find GCD of 518, 674, 107, 971?

You can find a detailed procedure to find GCD of 518, 674, 107, 971 on our page.

3. How to find GCD of 518, 674, 107, 971 on a calculator?

You can find the GCD of 518, 674, 107, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.