GCD of 302, 141, 72, 579 Calculator

Given Input numbers are 302, 141, 72, 579

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

Divisors of 302

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

1, 2, 151, 302

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 579

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

1, 3, 193, 579

Greatest Common Divisior

We found the divisors of 302, 141, 72, 579 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 141, 72, 579 is 1.

Therefore, GCD of numbers 302, 141, 72, 579 is 1

Given Input Data is 302, 141, 72, 579

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

Prime Factorization of 302 is 2 x 151

Prime Factorization of 141 is 3 x 47

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 579 is 3 x 193

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(302, 141) = 42582

GCD(302, 141) = ( 302 x 141 ) / 42582

GCD(302, 141) = 42582 / 42582

GCD(302, 141) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 579

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

LCM(1, 579) = 579

GCD(1, 579) = ( 1 x 579 ) / 579

GCD(1, 579) = 579 / 579

GCD(1, 579) = 1

GCD of 302, 141, 72, 579 is 1

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1. What is the GCD of 302, 141, 72, 579?

GCD of 302, 141, 72, 579 is 1

2. Where do I get the detailed procedure to find GCD of 302, 141, 72, 579?

You can find a detailed procedure to find GCD of 302, 141, 72, 579 on our page.

3. How to find GCD of 302, 141, 72, 579 on a calculator?

You can find the GCD of 302, 141, 72, 579 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.