GCD of 988, 504, 37, 364 Calculator

Given Input numbers are 988, 504, 37, 364

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

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

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 988, 504, 37, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 988, 504, 37, 364 is 1.

Therefore, GCD of numbers 988, 504, 37, 364 is 1

Given Input Data is 988, 504, 37, 364

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

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 37 is 37

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(988, 504) = 124488

GCD(988, 504) = ( 988 x 504 ) / 124488

GCD(988, 504) = 497952 / 124488

GCD(988, 504) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 37

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

LCM(4, 37) = 148

GCD(4, 37) = ( 4 x 37 ) / 148

GCD(4, 37) = 148 / 148

GCD(4, 37) = 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 988, 504, 37, 364 is 1

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1. What is the GCD of 988, 504, 37, 364?

GCD of 988, 504, 37, 364 is 1

2. Where do I get the detailed procedure to find GCD of 988, 504, 37, 364?

You can find a detailed procedure to find GCD of 988, 504, 37, 364 on our page.

3. How to find GCD of 988, 504, 37, 364 on a calculator?

You can find the GCD of 988, 504, 37, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.