GCD of 271, 132, 726 Calculator

Given Input numbers are 271, 132, 726

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

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Greatest Common Divisior

We found the divisors of 271, 132, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 271, 132, 726 is 1.

Therefore, GCD of numbers 271, 132, 726 is 1

Given Input Data is 271, 132, 726

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

Prime Factorization of 271 is 271

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 726 is 2 x 3 x 11 x 11

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(271, 132) = 35772

GCD(271, 132) = ( 271 x 132 ) / 35772

GCD(271, 132) = 35772 / 35772

GCD(271, 132) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 726

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

LCM(1, 726) = 726

GCD(1, 726) = ( 1 x 726 ) / 726

GCD(1, 726) = 726 / 726

GCD(1, 726) = 1

GCD of 271, 132, 726 is 1

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1. What is the GCD of 271, 132, 726?

GCD of 271, 132, 726 is 1

2. Where do I get the detailed procedure to find GCD of 271, 132, 726?

You can find a detailed procedure to find GCD of 271, 132, 726 on our page.

3. How to find GCD of 271, 132, 726 on a calculator?

You can find the GCD of 271, 132, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.