GCD of 711, 468, 228, 674 Calculator

Given Input numbers are 711, 468, 228, 674

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

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Greatest Common Divisior

We found the divisors of 711, 468, 228, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 711, 468, 228, 674 is 1.

Therefore, GCD of numbers 711, 468, 228, 674 is 1

Given Input Data is 711, 468, 228, 674

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

Prime Factorization of 711 is 3 x 3 x 79

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

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

Prime Factorization of 674 is 2 x 337

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(711, 468) = 36972

GCD(711, 468) = ( 711 x 468 ) / 36972

GCD(711, 468) = 332748 / 36972

GCD(711, 468) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 228

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

LCM(9, 228) = 684

GCD(9, 228) = ( 9 x 228 ) / 684

GCD(9, 228) = 2052 / 684

GCD(9, 228) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 674

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

LCM(3, 674) = 2022

GCD(3, 674) = ( 3 x 674 ) / 2022

GCD(3, 674) = 2022 / 2022

GCD(3, 674) = 1

GCD of 711, 468, 228, 674 is 1

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1. What is the GCD of 711, 468, 228, 674?

GCD of 711, 468, 228, 674 is 1

2. Where do I get the detailed procedure to find GCD of 711, 468, 228, 674?

You can find a detailed procedure to find GCD of 711, 468, 228, 674 on our page.

3. How to find GCD of 711, 468, 228, 674 on a calculator?

You can find the GCD of 711, 468, 228, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.