GCD of 904, 371, 36, 938 Calculator

Given Input numbers are 904, 371, 36, 938

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

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Greatest Common Divisior

We found the divisors of 904, 371, 36, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 904, 371, 36, 938 is 1.

Therefore, GCD of numbers 904, 371, 36, 938 is 1

Given Input Data is 904, 371, 36, 938

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

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 371 is 7 x 53

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 938 is 2 x 7 x 67

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(904, 371) = 335384

GCD(904, 371) = ( 904 x 371 ) / 335384

GCD(904, 371) = 335384 / 335384

GCD(904, 371) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 938

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

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

GCD(1, 938) = 938 / 938

GCD(1, 938) = 1

GCD of 904, 371, 36, 938 is 1

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1. What is the GCD of 904, 371, 36, 938?

GCD of 904, 371, 36, 938 is 1

2. Where do I get the detailed procedure to find GCD of 904, 371, 36, 938?

You can find a detailed procedure to find GCD of 904, 371, 36, 938 on our page.

3. How to find GCD of 904, 371, 36, 938 on a calculator?

You can find the GCD of 904, 371, 36, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.