GCD of 332, 568, 726, 871 Calculator

Given Input numbers are 332, 568, 726, 871

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

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Divisors of 568

List of positive integer divisors of 568 that divides 568 without a remainder.

1, 2, 4, 8, 71, 142, 284, 568

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

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Greatest Common Divisior

We found the divisors of 332, 568, 726, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 332, 568, 726, 871 is 1.

Therefore, GCD of numbers 332, 568, 726, 871 is 1

Given Input Data is 332, 568, 726, 871

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

Prime Factorization of 332 is 2 x 2 x 83

Prime Factorization of 568 is 2 x 2 x 2 x 71

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

Prime Factorization of 871 is 13 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(332, 568) = 47144

GCD(332, 568) = ( 332 x 568 ) / 47144

GCD(332, 568) = 188576 / 47144

GCD(332, 568) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 726

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

LCM(4, 726) = 1452

GCD(4, 726) = ( 4 x 726 ) / 1452

GCD(4, 726) = 2904 / 1452

GCD(4, 726) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 871

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

LCM(2, 871) = 1742

GCD(2, 871) = ( 2 x 871 ) / 1742

GCD(2, 871) = 1742 / 1742

GCD(2, 871) = 1

GCD of 332, 568, 726, 871 is 1

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1. What is the GCD of 332, 568, 726, 871?

GCD of 332, 568, 726, 871 is 1

2. Where do I get the detailed procedure to find GCD of 332, 568, 726, 871?

You can find a detailed procedure to find GCD of 332, 568, 726, 871 on our page.

3. How to find GCD of 332, 568, 726, 871 on a calculator?

You can find the GCD of 332, 568, 726, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.