GCD of 312, 989, 502 Calculator

Given Input numbers are 312, 989, 502

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Greatest Common Divisior

We found the divisors of 312, 989, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 989, 502 is 1.

Therefore, GCD of numbers 312, 989, 502 is 1

Given Input Data is 312, 989, 502

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 989 is 23 x 43

Prime Factorization of 502 is 2 x 251

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(312, 989) = 308568

GCD(312, 989) = ( 312 x 989 ) / 308568

GCD(312, 989) = 308568 / 308568

GCD(312, 989) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 502

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

LCM(1, 502) = 502

GCD(1, 502) = ( 1 x 502 ) / 502

GCD(1, 502) = 502 / 502

GCD(1, 502) = 1

GCD of 312, 989, 502 is 1

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1. What is the GCD of 312, 989, 502?

GCD of 312, 989, 502 is 1

2. Where do I get the detailed procedure to find GCD of 312, 989, 502?

You can find a detailed procedure to find GCD of 312, 989, 502 on our page.

3. How to find GCD of 312, 989, 502 on a calculator?

You can find the GCD of 312, 989, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.