GCD of 379, 600, 567, 616 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 379, 600, 567, 616 i.e. 1 largest integer that divides all the numbers equally.

GCD of 379, 600, 567, 616 is 1

GCD(379, 600, 567, 616) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 379, 600, 567, 616 is 1

GCD(379, 600, 567, 616) = 1

GCD of 379,600,567,616 Calculator

GCDof 379,600,567,616 is 1

Given Input numbers are 379, 600, 567, 616

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

Divisors of 379

List of positive integer divisors of 379 that divides 379 without a remainder.

1, 379

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Greatest Common Divisior

We found the divisors of 379, 600, 567, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 379, 600, 567, 616 is 1.

Therefore, GCD of numbers 379, 600, 567, 616 is 1

Finding GCD of 379, 600, 567, 616 using Prime Factorization

Given Input Data is 379, 600, 567, 616

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

Prime Factorization of 379 is 379

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 379, 600, 567, 616 using LCM Formula

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(379, 600) = 227400

GCD(379, 600) = ( 379 x 600 ) / 227400

GCD(379, 600) = 227400 / 227400

GCD(379, 600) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 567

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

LCM(1, 567) = 567

GCD(1, 567) = ( 1 x 567 ) / 567

GCD(1, 567) = 567 / 567

GCD(1, 567) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 616

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

LCM(1, 616) = 616

GCD(1, 616) = ( 1 x 616 ) / 616

GCD(1, 616) = 616 / 616

GCD(1, 616) = 1

GCD of 379, 600, 567, 616 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 379, 600, 567, 616

1. What is the GCD of 379, 600, 567, 616?

GCD of 379, 600, 567, 616 is 1


2. Where do I get the detailed procedure to find GCD of 379, 600, 567, 616?

You can find a detailed procedure to find GCD of 379, 600, 567, 616 on our page.


3. How to find GCD of 379, 600, 567, 616 on a calculator?

You can find the GCD of 379, 600, 567, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.