GCD of 312, 261, 644 Calculator

Given Input numbers are 312, 261, 644

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 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Greatest Common Divisior

We found the divisors of 312, 261, 644 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 261, 644 is 1.

Therefore, GCD of numbers 312, 261, 644 is 1

Given Input Data is 312, 261, 644

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 261 is 3 x 3 x 29

Prime Factorization of 644 is 2 x 2 x 7 x 23

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, 261) = 27144

GCD(312, 261) = ( 312 x 261 ) / 27144

GCD(312, 261) = 81432 / 27144

GCD(312, 261) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 644

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

LCM(3, 644) = 1932

GCD(3, 644) = ( 3 x 644 ) / 1932

GCD(3, 644) = 1932 / 1932

GCD(3, 644) = 1

GCD of 312, 261, 644 is 1

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• GCD of 309, 241, 993
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1. What is the GCD of 312, 261, 644?

GCD of 312, 261, 644 is 1

2. Where do I get the detailed procedure to find GCD of 312, 261, 644?

You can find a detailed procedure to find GCD of 312, 261, 644 on our page.

3. How to find GCD of 312, 261, 644 on a calculator?

You can find the GCD of 312, 261, 644 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.