GCD of 684, 295, 474, 578 Calculator

Given Input numbers are 684, 295, 474, 578

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

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

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Greatest Common Divisior

We found the divisors of 684, 295, 474, 578 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 295, 474, 578 is 1.

Therefore, GCD of numbers 684, 295, 474, 578 is 1

Given Input Data is 684, 295, 474, 578

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

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

Prime Factorization of 295 is 5 x 59

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 578 is 2 x 17 x 17

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(684, 295) = 201780

GCD(684, 295) = ( 684 x 295 ) / 201780

GCD(684, 295) = 201780 / 201780

GCD(684, 295) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 474

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

LCM(1, 474) = 474

GCD(1, 474) = ( 1 x 474 ) / 474

GCD(1, 474) = 474 / 474

GCD(1, 474) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 578

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

LCM(1, 578) = 578

GCD(1, 578) = ( 1 x 578 ) / 578

GCD(1, 578) = 578 / 578

GCD(1, 578) = 1

GCD of 684, 295, 474, 578 is 1

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1. What is the GCD of 684, 295, 474, 578?

GCD of 684, 295, 474, 578 is 1

2. Where do I get the detailed procedure to find GCD of 684, 295, 474, 578?

You can find a detailed procedure to find GCD of 684, 295, 474, 578 on our page.

3. How to find GCD of 684, 295, 474, 578 on a calculator?

You can find the GCD of 684, 295, 474, 578 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.