GCD of 614, 179, 352, 360 Calculator

Given Input numbers are 614, 179, 352, 360

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 179

List of positive integer divisors of 179 that divides 179 without a remainder.

1, 179

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Greatest Common Divisior

We found the divisors of 614, 179, 352, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 179, 352, 360 is 1.

Therefore, GCD of numbers 614, 179, 352, 360 is 1

Given Input Data is 614, 179, 352, 360

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 179 is 179

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

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, 179) = 109906

GCD(614, 179) = ( 614 x 179 ) / 109906

GCD(614, 179) = 109906 / 109906

GCD(614, 179) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 352

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

LCM(1, 352) = 352

GCD(1, 352) = ( 1 x 352 ) / 352

GCD(1, 352) = 352 / 352

GCD(1, 352) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

GCD of 614, 179, 352, 360 is 1

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1. What is the GCD of 614, 179, 352, 360?

GCD of 614, 179, 352, 360 is 1

2. Where do I get the detailed procedure to find GCD of 614, 179, 352, 360?

You can find a detailed procedure to find GCD of 614, 179, 352, 360 on our page.

3. How to find GCD of 614, 179, 352, 360 on a calculator?

You can find the GCD of 614, 179, 352, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.