GCD of 72, 380, 299, 979 Calculator

Given Input numbers are 72, 380, 299, 979

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

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 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Greatest Common Divisior

We found the divisors of 72, 380, 299, 979 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 380, 299, 979 is 1.

Therefore, GCD of numbers 72, 380, 299, 979 is 1

Given Input Data is 72, 380, 299, 979

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

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

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 299 is 13 x 23

Prime Factorization of 979 is 11 x 89

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(72, 380) = 6840

GCD(72, 380) = ( 72 x 380 ) / 6840

GCD(72, 380) = 27360 / 6840

GCD(72, 380) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 299

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

LCM(4, 299) = 1196

GCD(4, 299) = ( 4 x 299 ) / 1196

GCD(4, 299) = 1196 / 1196

GCD(4, 299) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 979

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

LCM(1, 979) = 979

GCD(1, 979) = ( 1 x 979 ) / 979

GCD(1, 979) = 979 / 979

GCD(1, 979) = 1

GCD of 72, 380, 299, 979 is 1

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• GCD of 40, 463, 902, 743
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1. What is the GCD of 72, 380, 299, 979?

GCD of 72, 380, 299, 979 is 1

2. Where do I get the detailed procedure to find GCD of 72, 380, 299, 979?

You can find a detailed procedure to find GCD of 72, 380, 299, 979 on our page.

3. How to find GCD of 72, 380, 299, 979 on a calculator?

You can find the GCD of 72, 380, 299, 979 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.