GCD of 996, 249, 437, 364 Calculator

Given Input numbers are 996, 249, 437, 364

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

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 437

List of positive integer divisors of 437 that divides 437 without a remainder.

1, 19, 23, 437

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 996, 249, 437, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 249, 437, 364 is 1.

Therefore, GCD of numbers 996, 249, 437, 364 is 1

Given Input Data is 996, 249, 437, 364

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

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 249 is 3 x 83

Prime Factorization of 437 is 19 x 23

Prime Factorization of 364 is 2 x 2 x 7 x 13

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(996, 249) = 996

GCD(996, 249) = ( 996 x 249 ) / 996

GCD(996, 249) = 248004 / 996

GCD(996, 249) = 249

Step2:

Here we consider the GCD from the above i.e. 249 as first number and the next as 437

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

LCM(249, 437) = 108813

GCD(249, 437) = ( 249 x 437 ) / 108813

GCD(249, 437) = 108813 / 108813

GCD(249, 437) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

GCD of 996, 249, 437, 364 is 1

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• GCD of 415, 195, 617, 302
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• GCD of 585, 774, 213, 498

1. What is the GCD of 996, 249, 437, 364?

GCD of 996, 249, 437, 364 is 1

2. Where do I get the detailed procedure to find GCD of 996, 249, 437, 364?

You can find a detailed procedure to find GCD of 996, 249, 437, 364 on our page.

3. How to find GCD of 996, 249, 437, 364 on a calculator?

You can find the GCD of 996, 249, 437, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.