GCD of 270, 724, 171, 268 Calculator

Given Input numbers are 270, 724, 171, 268

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

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 724

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

1, 2, 4, 181, 362, 724

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Greatest Common Divisior

We found the divisors of 270, 724, 171, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 724, 171, 268 is 1.

Therefore, GCD of numbers 270, 724, 171, 268 is 1

Given Input Data is 270, 724, 171, 268

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

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 268 is 2 x 2 x 67

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(270, 724) = 97740

GCD(270, 724) = ( 270 x 724 ) / 97740

GCD(270, 724) = 195480 / 97740

GCD(270, 724) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 171

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

LCM(2, 171) = 342

GCD(2, 171) = ( 2 x 171 ) / 342

GCD(2, 171) = 342 / 342

GCD(2, 171) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 268

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

LCM(1, 268) = 268

GCD(1, 268) = ( 1 x 268 ) / 268

GCD(1, 268) = 268 / 268

GCD(1, 268) = 1

GCD of 270, 724, 171, 268 is 1

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1. What is the GCD of 270, 724, 171, 268?

GCD of 270, 724, 171, 268 is 1

2. Where do I get the detailed procedure to find GCD of 270, 724, 171, 268?

You can find a detailed procedure to find GCD of 270, 724, 171, 268 on our page.

3. How to find GCD of 270, 724, 171, 268 on a calculator?

You can find the GCD of 270, 724, 171, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.