GCD of 644, 426, 49 Calculator

Given Input numbers are 644, 426, 49

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 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Greatest Common Divisior

We found the divisors of 644, 426, 49 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 644, 426, 49 is 1.

Therefore, GCD of numbers 644, 426, 49 is 1

Given Input Data is 644, 426, 49

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 426 is 2 x 3 x 71

Prime Factorization of 49 is 7 x 7

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(644, 426) = 137172

GCD(644, 426) = ( 644 x 426 ) / 137172

GCD(644, 426) = 274344 / 137172

GCD(644, 426) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 49

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

LCM(2, 49) = 98

GCD(2, 49) = ( 2 x 49 ) / 98

GCD(2, 49) = 98 / 98

GCD(2, 49) = 1

GCD of 644, 426, 49 is 1

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1. What is the GCD of 644, 426, 49?

GCD of 644, 426, 49 is 1

2. Where do I get the detailed procedure to find GCD of 644, 426, 49?

You can find a detailed procedure to find GCD of 644, 426, 49 on our page.

3. How to find GCD of 644, 426, 49 on a calculator?

You can find the GCD of 644, 426, 49 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.