GCD of 680, 119, 186, 334 Calculator

Given Input numbers are 680, 119, 186, 334

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

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 119

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

1, 7, 17, 119

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Greatest Common Divisior

We found the divisors of 680, 119, 186, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 119, 186, 334 is 1.

Therefore, GCD of numbers 680, 119, 186, 334 is 1

Given Input Data is 680, 119, 186, 334

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

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 119 is 7 x 17

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 334 is 2 x 167

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(680, 119) = 4760

GCD(680, 119) = ( 680 x 119 ) / 4760

GCD(680, 119) = 80920 / 4760

GCD(680, 119) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 186

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

LCM(17, 186) = 3162

GCD(17, 186) = ( 17 x 186 ) / 3162

GCD(17, 186) = 3162 / 3162

GCD(17, 186) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 334

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

LCM(1, 334) = 334

GCD(1, 334) = ( 1 x 334 ) / 334

GCD(1, 334) = 334 / 334

GCD(1, 334) = 1

GCD of 680, 119, 186, 334 is 1

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1. What is the GCD of 680, 119, 186, 334?

GCD of 680, 119, 186, 334 is 1

2. Where do I get the detailed procedure to find GCD of 680, 119, 186, 334?

You can find a detailed procedure to find GCD of 680, 119, 186, 334 on our page.

3. How to find GCD of 680, 119, 186, 334 on a calculator?

You can find the GCD of 680, 119, 186, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.