GCD of 272, 456, 71, 973 Calculator

Given Input numbers are 272, 456, 71, 973

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

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Greatest Common Divisior

We found the divisors of 272, 456, 71, 973 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 456, 71, 973 is 1.

Therefore, GCD of numbers 272, 456, 71, 973 is 1

Given Input Data is 272, 456, 71, 973

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

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 71 is 71

Prime Factorization of 973 is 7 x 139

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(272, 456) = 15504

GCD(272, 456) = ( 272 x 456 ) / 15504

GCD(272, 456) = 124032 / 15504

GCD(272, 456) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 71

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

LCM(8, 71) = 568

GCD(8, 71) = ( 8 x 71 ) / 568

GCD(8, 71) = 568 / 568

GCD(8, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 973

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

LCM(1, 973) = 973

GCD(1, 973) = ( 1 x 973 ) / 973

GCD(1, 973) = 973 / 973

GCD(1, 973) = 1

GCD of 272, 456, 71, 973 is 1

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• GCD of 202, 174, 95, 238
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1. What is the GCD of 272, 456, 71, 973?

GCD of 272, 456, 71, 973 is 1

2. Where do I get the detailed procedure to find GCD of 272, 456, 71, 973?

You can find a detailed procedure to find GCD of 272, 456, 71, 973 on our page.

3. How to find GCD of 272, 456, 71, 973 on a calculator?

You can find the GCD of 272, 456, 71, 973 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.