GCD of 938, 496, 521, 627 Calculator

Given Input numbers are 938, 496, 521, 627

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

Divisors of 938

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

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

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Greatest Common Divisior

We found the divisors of 938, 496, 521, 627 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 938, 496, 521, 627 is 1.

Therefore, GCD of numbers 938, 496, 521, 627 is 1

Given Input Data is 938, 496, 521, 627

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

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 521 is 521

Prime Factorization of 627 is 3 x 11 x 19

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(938, 496) = 232624

GCD(938, 496) = ( 938 x 496 ) / 232624

GCD(938, 496) = 465248 / 232624

GCD(938, 496) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 521

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

LCM(2, 521) = 1042

GCD(2, 521) = ( 2 x 521 ) / 1042

GCD(2, 521) = 1042 / 1042

GCD(2, 521) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 627

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

LCM(1, 627) = 627

GCD(1, 627) = ( 1 x 627 ) / 627

GCD(1, 627) = 627 / 627

GCD(1, 627) = 1

GCD of 938, 496, 521, 627 is 1

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1. What is the GCD of 938, 496, 521, 627?

GCD of 938, 496, 521, 627 is 1

2. Where do I get the detailed procedure to find GCD of 938, 496, 521, 627?

You can find a detailed procedure to find GCD of 938, 496, 521, 627 on our page.

3. How to find GCD of 938, 496, 521, 627 on a calculator?

You can find the GCD of 938, 496, 521, 627 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.