GCD of 54, 591, 652, 902 Calculator

Given Input numbers are 54, 591, 652, 902

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

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Greatest Common Divisior

We found the divisors of 54, 591, 652, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 591, 652, 902 is 1.

Therefore, GCD of numbers 54, 591, 652, 902 is 1

Given Input Data is 54, 591, 652, 902

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

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 591 is 3 x 197

Prime Factorization of 652 is 2 x 2 x 163

Prime Factorization of 902 is 2 x 11 x 41

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(54, 591) = 10638

GCD(54, 591) = ( 54 x 591 ) / 10638

GCD(54, 591) = 31914 / 10638

GCD(54, 591) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 652

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

LCM(3, 652) = 1956

GCD(3, 652) = ( 3 x 652 ) / 1956

GCD(3, 652) = 1956 / 1956

GCD(3, 652) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 902

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

LCM(1, 902) = 902

GCD(1, 902) = ( 1 x 902 ) / 902

GCD(1, 902) = 902 / 902

GCD(1, 902) = 1

GCD of 54, 591, 652, 902 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 73, 665, 233, 829
• GCD of 57, 319, 896, 163
• GCD of 43, 868, 219, 187
• GCD of 56, 454, 276, 770
• GCD of 31, 577, 125, 459

1. What is the GCD of 54, 591, 652, 902?

GCD of 54, 591, 652, 902 is 1

2. Where do I get the detailed procedure to find GCD of 54, 591, 652, 902?

You can find a detailed procedure to find GCD of 54, 591, 652, 902 on our page.

3. How to find GCD of 54, 591, 652, 902 on a calculator?

You can find the GCD of 54, 591, 652, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.