GCD of 375, 464, 274 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 375, 464, 274 i.e. 1 largest integer that divides all the numbers equally.

GCD of 375, 464, 274 is 1

GCD(375, 464, 274) = 1

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

GCD of

GCD of numbers 375, 464, 274 is 1

GCD(375, 464, 274) = 1

GCD of 375,464,274 Calculator

GCDof 375,464,274 is 1

Given Input numbers are 375, 464, 274

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

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Greatest Common Divisior

We found the divisors of 375, 464, 274 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 375, 464, 274 is 1.

Therefore, GCD of numbers 375, 464, 274 is 1

Finding GCD of 375, 464, 274 using Prime Factorization

Given Input Data is 375, 464, 274

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

Prime Factorization of 375 is 3 x 5 x 5 x 5

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 274 is 2 x 137

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

Finding GCD of 375, 464, 274 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(375, 464) = 174000

GCD(375, 464) = ( 375 x 464 ) / 174000

GCD(375, 464) = 174000 / 174000

GCD(375, 464) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 274

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

LCM(1, 274) = 274

GCD(1, 274) = ( 1 x 274 ) / 274

GCD(1, 274) = 274 / 274

GCD(1, 274) = 1

GCD of 375, 464, 274 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 375, 464, 274

1. What is the GCD of 375, 464, 274?

GCD of 375, 464, 274 is 1


2. Where do I get the detailed procedure to find GCD of 375, 464, 274?

You can find a detailed procedure to find GCD of 375, 464, 274 on our page.


3. How to find GCD of 375, 464, 274 on a calculator?

You can find the GCD of 375, 464, 274 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.