GCD of 522, 628, 72, 991 Calculator

Given Input numbers are 522, 628, 72, 991

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

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Greatest Common Divisior

We found the divisors of 522, 628, 72, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 628, 72, 991 is 1.

Therefore, GCD of numbers 522, 628, 72, 991 is 1

Given Input Data is 522, 628, 72, 991

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

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 991 is 991

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(522, 628) = 163908

GCD(522, 628) = ( 522 x 628 ) / 163908

GCD(522, 628) = 327816 / 163908

GCD(522, 628) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 72

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

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

GCD(2, 72) = 144 / 72

GCD(2, 72) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 991

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

LCM(2, 991) = 1982

GCD(2, 991) = ( 2 x 991 ) / 1982

GCD(2, 991) = 1982 / 1982

GCD(2, 991) = 1

GCD of 522, 628, 72, 991 is 1

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1. What is the GCD of 522, 628, 72, 991?

GCD of 522, 628, 72, 991 is 1

2. Where do I get the detailed procedure to find GCD of 522, 628, 72, 991?

You can find a detailed procedure to find GCD of 522, 628, 72, 991 on our page.

3. How to find GCD of 522, 628, 72, 991 on a calculator?

You can find the GCD of 522, 628, 72, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.