GCD of 119, 678, 460, 594 Calculator

Given Input numbers are 119, 678, 460, 594

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

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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

Greatest Common Divisior

We found the divisors of 119, 678, 460, 594 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 119, 678, 460, 594 is 1.

Therefore, GCD of numbers 119, 678, 460, 594 is 1

Given Input Data is 119, 678, 460, 594

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

Prime Factorization of 119 is 7 x 17

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 594 is 2 x 3 x 3 x 3 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(119, 678) = 80682

GCD(119, 678) = ( 119 x 678 ) / 80682

GCD(119, 678) = 80682 / 80682

GCD(119, 678) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 460

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

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

GCD(1, 460) = 460 / 460

GCD(1, 460) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 594

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

LCM(1, 594) = 594

GCD(1, 594) = ( 1 x 594 ) / 594

GCD(1, 594) = 594 / 594

GCD(1, 594) = 1

GCD of 119, 678, 460, 594 is 1

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1. What is the GCD of 119, 678, 460, 594?

GCD of 119, 678, 460, 594 is 1

2. Where do I get the detailed procedure to find GCD of 119, 678, 460, 594?

You can find a detailed procedure to find GCD of 119, 678, 460, 594 on our page.

3. How to find GCD of 119, 678, 460, 594 on a calculator?

You can find the GCD of 119, 678, 460, 594 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.