GCD of 272, 500, 374 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 272, 500, 374 i.e. 2 largest integer that divides all the numbers equally.

GCD of 272, 500, 374 is 2

GCD(272, 500, 374) = 2

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

GCD of

GCD of numbers 272, 500, 374 is 2

GCD(272, 500, 374) = 2

GCD of 272,500,374 Calculator

GCDof 272,500,374 is 2

Given Input numbers are 272, 500, 374

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

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Greatest Common Divisior

We found the divisors of 272, 500, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 500, 374 is 2.

Therefore, GCD of numbers 272, 500, 374 is 2

Finding GCD of 272, 500, 374 using Prime Factorization

Given Input Data is 272, 500, 374

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

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 374 is 2 x 11 x 17

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 272, 500, 374 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(272, 500) = 34000

GCD(272, 500) = ( 272 x 500 ) / 34000

GCD(272, 500) = 136000 / 34000

GCD(272, 500) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 374

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

LCM(4, 374) = 748

GCD(4, 374) = ( 4 x 374 ) / 748

GCD(4, 374) = 1496 / 748

GCD(4, 374) = 2

GCD of 272, 500, 374 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 272, 500, 374

1. What is the GCD of 272, 500, 374?

GCD of 272, 500, 374 is 2

2. Where do I get the detailed procedure to find GCD of 272, 500, 374?

You can find a detailed procedure to find GCD of 272, 500, 374 on our page.

3. How to find GCD of 272, 500, 374 on a calculator?

You can find the GCD of 272, 500, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.