GCD of 974, 680, 518 Calculator

Given Input numbers are 974, 680, 518

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 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 518

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

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

Greatest Common Divisior

We found the divisors of 974, 680, 518 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 680, 518 is 2.

Therefore, GCD of numbers 974, 680, 518 is 2

Given Input Data is 974, 680, 518

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 518 is 2 x 7 x 37

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 680) = 331160

GCD(974, 680) = ( 974 x 680 ) / 331160

GCD(974, 680) = 662320 / 331160

GCD(974, 680) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 518

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

LCM(2, 518) = 518

GCD(2, 518) = ( 2 x 518 ) / 518

GCD(2, 518) = 1036 / 518

GCD(2, 518) = 2

GCD of 974, 680, 518 is 2

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1. What is the GCD of 974, 680, 518?

GCD of 974, 680, 518 is 2

2. Where do I get the detailed procedure to find GCD of 974, 680, 518?

You can find a detailed procedure to find GCD of 974, 680, 518 on our page.

3. How to find GCD of 974, 680, 518 on a calculator?

You can find the GCD of 974, 680, 518 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.