GCD of 111, 329, 564, 302 Calculator

Given Input numbers are 111, 329, 564, 302

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

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Greatest Common Divisior

We found the divisors of 111, 329, 564, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 111, 329, 564, 302 is 1.

Therefore, GCD of numbers 111, 329, 564, 302 is 1

Given Input Data is 111, 329, 564, 302

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

Prime Factorization of 111 is 3 x 37

Prime Factorization of 329 is 7 x 47

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 302 is 2 x 151

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(111, 329) = 36519

GCD(111, 329) = ( 111 x 329 ) / 36519

GCD(111, 329) = 36519 / 36519

GCD(111, 329) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 564

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

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

GCD(1, 564) = 564 / 564

GCD(1, 564) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 302

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

LCM(1, 302) = 302

GCD(1, 302) = ( 1 x 302 ) / 302

GCD(1, 302) = 302 / 302

GCD(1, 302) = 1

GCD of 111, 329, 564, 302 is 1

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1. What is the GCD of 111, 329, 564, 302?

GCD of 111, 329, 564, 302 is 1

2. Where do I get the detailed procedure to find GCD of 111, 329, 564, 302?

You can find a detailed procedure to find GCD of 111, 329, 564, 302 on our page.

3. How to find GCD of 111, 329, 564, 302 on a calculator?

You can find the GCD of 111, 329, 564, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.