GCD of 970, 324, 520 Calculator

Given Input numbers are 970, 324, 520

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

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Greatest Common Divisior

We found the divisors of 970, 324, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 324, 520 is 2.

Therefore, GCD of numbers 970, 324, 520 is 2

Given Input Data is 970, 324, 520

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

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

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(970, 324) = 157140

GCD(970, 324) = ( 970 x 324 ) / 157140

GCD(970, 324) = 314280 / 157140

GCD(970, 324) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 520

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

LCM(2, 520) = 520

GCD(2, 520) = ( 2 x 520 ) / 520

GCD(2, 520) = 1040 / 520

GCD(2, 520) = 2

GCD of 970, 324, 520 is 2

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1. What is the GCD of 970, 324, 520?

GCD of 970, 324, 520 is 2

2. Where do I get the detailed procedure to find GCD of 970, 324, 520?

You can find a detailed procedure to find GCD of 970, 324, 520 on our page.

3. How to find GCD of 970, 324, 520 on a calculator?

You can find the GCD of 970, 324, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.