GCD of 449, 981, 637, 756 Calculator

Given Input numbers are 449, 981, 637, 756

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

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Divisors of 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Greatest Common Divisior

We found the divisors of 449, 981, 637, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 449, 981, 637, 756 is 1.

Therefore, GCD of numbers 449, 981, 637, 756 is 1

Given Input Data is 449, 981, 637, 756

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

Prime Factorization of 449 is 449

Prime Factorization of 981 is 3 x 3 x 109

Prime Factorization of 637 is 7 x 7 x 13

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 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(449, 981) = 440469

GCD(449, 981) = ( 449 x 981 ) / 440469

GCD(449, 981) = 440469 / 440469

GCD(449, 981) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 637

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

LCM(1, 637) = 637

GCD(1, 637) = ( 1 x 637 ) / 637

GCD(1, 637) = 637 / 637

GCD(1, 637) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 756

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

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

GCD(1, 756) = 756 / 756

GCD(1, 756) = 1

GCD of 449, 981, 637, 756 is 1

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1. What is the GCD of 449, 981, 637, 756?

GCD of 449, 981, 637, 756 is 1

2. Where do I get the detailed procedure to find GCD of 449, 981, 637, 756?

You can find a detailed procedure to find GCD of 449, 981, 637, 756 on our page.

3. How to find GCD of 449, 981, 637, 756 on a calculator?

You can find the GCD of 449, 981, 637, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.