GCD of 644, 959, 420 Calculator

Given Input numbers are 644, 959, 420

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

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

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Greatest Common Divisior

We found the divisors of 644, 959, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 644, 959, 420 is 7.

Therefore, GCD of numbers 644, 959, 420 is 7

Given Input Data is 644, 959, 420

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

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

Prime Factorization of 959 is 7 x 137

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Highest common occurrences in the given inputs are 7¹

Multiplying them we get the GCD as 7

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(644, 959) = 88228

GCD(644, 959) = ( 644 x 959 ) / 88228

GCD(644, 959) = 617596 / 88228

GCD(644, 959) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 420

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

LCM(7, 420) = 420

GCD(7, 420) = ( 7 x 420 ) / 420

GCD(7, 420) = 2940 / 420

GCD(7, 420) = 7

GCD of 644, 959, 420 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 264, 801, 443
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• GCD of 964, 235, 914
• GCD of 218, 180, 261

1. What is the GCD of 644, 959, 420?

GCD of 644, 959, 420 is 7

2. Where do I get the detailed procedure to find GCD of 644, 959, 420?

You can find a detailed procedure to find GCD of 644, 959, 420 on our page.

3. How to find GCD of 644, 959, 420 on a calculator?

You can find the GCD of 644, 959, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.