GCD of 228, 710, 821, 597 Calculator

Given Input numbers are 228, 710, 821, 597

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

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Greatest Common Divisior

We found the divisors of 228, 710, 821, 597 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 710, 821, 597 is 1.

Therefore, GCD of numbers 228, 710, 821, 597 is 1

Given Input Data is 228, 710, 821, 597

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

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 821 is 821

Prime Factorization of 597 is 3 x 199

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(228, 710) = 80940

GCD(228, 710) = ( 228 x 710 ) / 80940

GCD(228, 710) = 161880 / 80940

GCD(228, 710) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 821

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

LCM(2, 821) = 1642

GCD(2, 821) = ( 2 x 821 ) / 1642

GCD(2, 821) = 1642 / 1642

GCD(2, 821) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 597

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

LCM(1, 597) = 597

GCD(1, 597) = ( 1 x 597 ) / 597

GCD(1, 597) = 597 / 597

GCD(1, 597) = 1

GCD of 228, 710, 821, 597 is 1

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1. What is the GCD of 228, 710, 821, 597?

GCD of 228, 710, 821, 597 is 1

2. Where do I get the detailed procedure to find GCD of 228, 710, 821, 597?

You can find a detailed procedure to find GCD of 228, 710, 821, 597 on our page.

3. How to find GCD of 228, 710, 821, 597 on a calculator?

You can find the GCD of 228, 710, 821, 597 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.