GCD of 272, 950, 71, 790 Calculator

Given Input numbers are 272, 950, 71, 790

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 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 71

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

1, 71

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Greatest Common Divisior

We found the divisors of 272, 950, 71, 790 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 950, 71, 790 is 1.

Therefore, GCD of numbers 272, 950, 71, 790 is 1

Given Input Data is 272, 950, 71, 790

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 950 is 2 x 5 x 5 x 19

Prime Factorization of 71 is 71

Prime Factorization of 790 is 2 x 5 x 79

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, 950) = 129200

GCD(272, 950) = ( 272 x 950 ) / 129200

GCD(272, 950) = 258400 / 129200

GCD(272, 950) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 71

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

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

GCD(2, 71) = 142 / 142

GCD(2, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 790

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

LCM(1, 790) = 790

GCD(1, 790) = ( 1 x 790 ) / 790

GCD(1, 790) = 790 / 790

GCD(1, 790) = 1

GCD of 272, 950, 71, 790 is 1

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1. What is the GCD of 272, 950, 71, 790?

GCD of 272, 950, 71, 790 is 1

2. Where do I get the detailed procedure to find GCD of 272, 950, 71, 790?

You can find a detailed procedure to find GCD of 272, 950, 71, 790 on our page.

3. How to find GCD of 272, 950, 71, 790 on a calculator?

You can find the GCD of 272, 950, 71, 790 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.