GCD of 272, 724, 950, 973 Calculator

Given Input numbers are 272, 724, 950, 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 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

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, 724, 950, 973 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 724, 950, 973 is 1.

Therefore, GCD of numbers 272, 724, 950, 973 is 1

Given Input Data is 272, 724, 950, 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 724 is 2 x 2 x 181

Prime Factorization of 950 is 2 x 5 x 5 x 19

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, 724) = 49232

GCD(272, 724) = ( 272 x 724 ) / 49232

GCD(272, 724) = 196928 / 49232

GCD(272, 724) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 950

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

LCM(4, 950) = 1900

GCD(4, 950) = ( 4 x 950 ) / 1900

GCD(4, 950) = 3800 / 1900

GCD(4, 950) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 973

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

LCM(2, 973) = 1946

GCD(2, 973) = ( 2 x 973 ) / 1946

GCD(2, 973) = 1946 / 1946

GCD(2, 973) = 1

GCD of 272, 724, 950, 973 is 1

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1. What is the GCD of 272, 724, 950, 973?

GCD of 272, 724, 950, 973 is 1

2. Where do I get the detailed procedure to find GCD of 272, 724, 950, 973?

You can find a detailed procedure to find GCD of 272, 724, 950, 973 on our page.

3. How to find GCD of 272, 724, 950, 973 on a calculator?

You can find the GCD of 272, 724, 950, 973 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.