GCD of 72, 125, 255, 971 Calculator

Given Input numbers are 72, 125, 255, 971

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 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Greatest Common Divisior

We found the divisors of 72, 125, 255, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 125, 255, 971 is 1.

Therefore, GCD of numbers 72, 125, 255, 971 is 1

Given Input Data is 72, 125, 255, 971

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 125 is 5 x 5 x 5

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 971 is 971

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, 125) = 9000

GCD(72, 125) = ( 72 x 125 ) / 9000

GCD(72, 125) = 9000 / 9000

GCD(72, 125) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 255

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

LCM(1, 255) = 255

GCD(1, 255) = ( 1 x 255 ) / 255

GCD(1, 255) = 255 / 255

GCD(1, 255) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 971

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

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

GCD(1, 971) = 971 / 971

GCD(1, 971) = 1

GCD of 72, 125, 255, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 18, 321, 676, 882
• GCD of 81, 238, 876, 784
• GCD of 10, 633, 310, 435
• GCD of 25, 816, 464, 478
• GCD of 94, 386, 411, 755

1. What is the GCD of 72, 125, 255, 971?

GCD of 72, 125, 255, 971 is 1

2. Where do I get the detailed procedure to find GCD of 72, 125, 255, 971?

You can find a detailed procedure to find GCD of 72, 125, 255, 971 on our page.

3. How to find GCD of 72, 125, 255, 971 on a calculator?

You can find the GCD of 72, 125, 255, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.