GCD of 419, 972, 644, 940 Calculator

Given Input numbers are 419, 972, 644, 940

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

Divisors of 419

List of positive integer divisors of 419 that divides 419 without a remainder.

1, 419

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

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 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Greatest Common Divisior

We found the divisors of 419, 972, 644, 940 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 419, 972, 644, 940 is 1.

Therefore, GCD of numbers 419, 972, 644, 940 is 1

Given Input Data is 419, 972, 644, 940

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

Prime Factorization of 419 is 419

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

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

Prime Factorization of 940 is 2 x 2 x 5 x 47

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(419, 972) = 407268

GCD(419, 972) = ( 419 x 972 ) / 407268

GCD(419, 972) = 407268 / 407268

GCD(419, 972) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 644

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

LCM(1, 644) = 644

GCD(1, 644) = ( 1 x 644 ) / 644

GCD(1, 644) = 644 / 644

GCD(1, 644) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 940

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

LCM(1, 940) = 940

GCD(1, 940) = ( 1 x 940 ) / 940

GCD(1, 940) = 940 / 940

GCD(1, 940) = 1

GCD of 419, 972, 644, 940 is 1

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1. What is the GCD of 419, 972, 644, 940?

GCD of 419, 972, 644, 940 is 1

2. Where do I get the detailed procedure to find GCD of 419, 972, 644, 940?

You can find a detailed procedure to find GCD of 419, 972, 644, 940 on our page.

3. How to find GCD of 419, 972, 644, 940 on a calculator?

You can find the GCD of 419, 972, 644, 940 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.