GCD of 614, 579, 107, 352 Calculator

Given Input numbers are 614, 579, 107, 352

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 579

List of positive integer divisors of 579 that divides 579 without a remainder.

1, 3, 193, 579

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

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

Greatest Common Divisior

We found the divisors of 614, 579, 107, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 579, 107, 352 is 1.

Therefore, GCD of numbers 614, 579, 107, 352 is 1

Given Input Data is 614, 579, 107, 352

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 579 is 3 x 193

Prime Factorization of 107 is 107

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

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, 579) = 355506

GCD(614, 579) = ( 614 x 579 ) / 355506

GCD(614, 579) = 355506 / 355506

GCD(614, 579) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 107

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

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

GCD(1, 107) = 107 / 107

GCD(1, 107) = 1

Step3:

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

GCD of 614, 579, 107, 352 is 1

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1. What is the GCD of 614, 579, 107, 352?

GCD of 614, 579, 107, 352 is 1

2. Where do I get the detailed procedure to find GCD of 614, 579, 107, 352?

You can find a detailed procedure to find GCD of 614, 579, 107, 352 on our page.

3. How to find GCD of 614, 579, 107, 352 on a calculator?

You can find the GCD of 614, 579, 107, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.