GCD of 72, 631, 653, 115 Calculator

Given Input numbers are 72, 631, 653, 115

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

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 631

List of positive integer divisors of 631 that divides 631 without a remainder.

1, 631

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Greatest Common Divisior

We found the divisors of 72, 631, 653, 115 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 631, 653, 115 is 1.

Therefore, GCD of numbers 72, 631, 653, 115 is 1

Given Input Data is 72, 631, 653, 115

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

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

Prime Factorization of 631 is 631

Prime Factorization of 653 is 653

Prime Factorization of 115 is 5 x 23

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(72, 631) = 45432

GCD(72, 631) = ( 72 x 631 ) / 45432

GCD(72, 631) = 45432 / 45432

GCD(72, 631) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 653

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

LCM(1, 653) = 653

GCD(1, 653) = ( 1 x 653 ) / 653

GCD(1, 653) = 653 / 653

GCD(1, 653) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 115

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

LCM(1, 115) = 115

GCD(1, 115) = ( 1 x 115 ) / 115

GCD(1, 115) = 115 / 115

GCD(1, 115) = 1

GCD of 72, 631, 653, 115 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 85, 190, 897, 806
• GCD of 90, 897, 980, 294
• GCD of 43, 183, 585, 445
• GCD of 74, 567, 247, 334
• GCD of 23, 448, 928, 484

1. What is the GCD of 72, 631, 653, 115?

GCD of 72, 631, 653, 115 is 1

2. Where do I get the detailed procedure to find GCD of 72, 631, 653, 115?

You can find a detailed procedure to find GCD of 72, 631, 653, 115 on our page.

3. How to find GCD of 72, 631, 653, 115 on a calculator?

You can find the GCD of 72, 631, 653, 115 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.