GCD of 684, 674, 177 Calculator

Given Input numbers are 684, 674, 177

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 674

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

1, 2, 337, 674

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Greatest Common Divisior

We found the divisors of 684, 674, 177 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 674, 177 is 1.

Therefore, GCD of numbers 684, 674, 177 is 1

Given Input Data is 684, 674, 177

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 674 is 2 x 337

Prime Factorization of 177 is 3 x 59

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, 674) = 230508

GCD(684, 674) = ( 684 x 674 ) / 230508

GCD(684, 674) = 461016 / 230508

GCD(684, 674) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 177

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

LCM(2, 177) = 354

GCD(2, 177) = ( 2 x 177 ) / 354

GCD(2, 177) = 354 / 354

GCD(2, 177) = 1

GCD of 684, 674, 177 is 1

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1. What is the GCD of 684, 674, 177?

GCD of 684, 674, 177 is 1

2. Where do I get the detailed procedure to find GCD of 684, 674, 177?

You can find a detailed procedure to find GCD of 684, 674, 177 on our page.

3. How to find GCD of 684, 674, 177 on a calculator?

You can find the GCD of 684, 674, 177 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.