GCD of 676, 594, 889, 684 Calculator

Given Input numbers are 676, 594, 889, 684

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

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Greatest Common Divisior

We found the divisors of 676, 594, 889, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 594, 889, 684 is 1.

Therefore, GCD of numbers 676, 594, 889, 684 is 1

Given Input Data is 676, 594, 889, 684

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

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

Prime Factorization of 889 is 7 x 127

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

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(676, 594) = 200772

GCD(676, 594) = ( 676 x 594 ) / 200772

GCD(676, 594) = 401544 / 200772

GCD(676, 594) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 889

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

LCM(2, 889) = 1778

GCD(2, 889) = ( 2 x 889 ) / 1778

GCD(2, 889) = 1778 / 1778

GCD(2, 889) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 684

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

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

GCD(1, 684) = 684 / 684

GCD(1, 684) = 1

GCD of 676, 594, 889, 684 is 1

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1. What is the GCD of 676, 594, 889, 684?

GCD of 676, 594, 889, 684 is 1

2. Where do I get the detailed procedure to find GCD of 676, 594, 889, 684?

You can find a detailed procedure to find GCD of 676, 594, 889, 684 on our page.

3. How to find GCD of 676, 594, 889, 684 on a calculator?

You can find the GCD of 676, 594, 889, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.