GCD of 312, 769, 500 Calculator

Given Input numbers are 312, 769, 500

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 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Greatest Common Divisior

We found the divisors of 312, 769, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 769, 500 is 1.

Therefore, GCD of numbers 312, 769, 500 is 1

Given Input Data is 312, 769, 500

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 769 is 769

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

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, 769) = 239928

GCD(312, 769) = ( 312 x 769 ) / 239928

GCD(312, 769) = 239928 / 239928

GCD(312, 769) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 500

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

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

GCD(1, 500) = 500 / 500

GCD(1, 500) = 1

GCD of 312, 769, 500 is 1

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• GCD of 959, 918, 196
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1. What is the GCD of 312, 769, 500?

GCD of 312, 769, 500 is 1

2. Where do I get the detailed procedure to find GCD of 312, 769, 500?

You can find a detailed procedure to find GCD of 312, 769, 500 on our page.

3. How to find GCD of 312, 769, 500 on a calculator?

You can find the GCD of 312, 769, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.