GCD of 614, 180, 334, 931 Calculator

Given Input numbers are 614, 180, 334, 931

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

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 334

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

1, 2, 167, 334

Divisors of 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Greatest Common Divisior

We found the divisors of 614, 180, 334, 931 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 180, 334, 931 is 1.

Therefore, GCD of numbers 614, 180, 334, 931 is 1

Given Input Data is 614, 180, 334, 931

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 334 is 2 x 167

Prime Factorization of 931 is 7 x 7 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(614, 180) = 55260

GCD(614, 180) = ( 614 x 180 ) / 55260

GCD(614, 180) = 110520 / 55260

GCD(614, 180) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 334

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

LCM(2, 334) = 334

GCD(2, 334) = ( 2 x 334 ) / 334

GCD(2, 334) = 668 / 334

GCD(2, 334) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 931

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

LCM(2, 931) = 1862

GCD(2, 931) = ( 2 x 931 ) / 1862

GCD(2, 931) = 1862 / 1862

GCD(2, 931) = 1

GCD of 614, 180, 334, 931 is 1

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• GCD of 689, 990, 631, 776
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1. What is the GCD of 614, 180, 334, 931?

GCD of 614, 180, 334, 931 is 1

2. Where do I get the detailed procedure to find GCD of 614, 180, 334, 931?

You can find a detailed procedure to find GCD of 614, 180, 334, 931 on our page.

3. How to find GCD of 614, 180, 334, 931 on a calculator?

You can find the GCD of 614, 180, 334, 931 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.