GCD of 350, 450, 250 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 350, 450, 250 i.e. 50 largest integer that divides all the numbers equally.

GCD of 350, 450, 250 is 50

GCD(350, 450, 250) = 50

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

GCD of

GCD of numbers 350, 450, 250 is 50

GCD(350, 450, 250) = 50

GCD of 350,450,250 Calculator

GCDof 350,450,250 is 50

Given Input numbers are 350, 450, 250

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

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Greatest Common Divisior

We found the divisors of 350, 450, 250 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 450, 250 is 50.

Therefore, GCD of numbers 350, 450, 250 is 50

Finding GCD of 350, 450, 250 using Prime Factorization

Given Input Data is 350, 450, 250

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

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 250 is 2 x 5 x 5 x 5

Highest common occurrences in the given inputs are 21 x 52

Multiplying them we get the GCD as 50

Finding GCD of 350, 450, 250 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(350, 450) = 3150

GCD(350, 450) = ( 350 x 450 ) / 3150

GCD(350, 450) = 157500 / 3150

GCD(350, 450) = 50


Step2:

Here we consider the GCD from the above i.e. 50 as first number and the next as 250

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

LCM(50, 250) = 250

GCD(50, 250) = ( 50 x 250 ) / 250

GCD(50, 250) = 12500 / 250

GCD(50, 250) = 50

GCD of 350, 450, 250 is 50

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 350, 450, 250

1. What is the GCD of 350, 450, 250?

GCD of 350, 450, 250 is 50


2. Where do I get the detailed procedure to find GCD of 350, 450, 250?

You can find a detailed procedure to find GCD of 350, 450, 250 on our page.


3. How to find GCD of 350, 450, 250 on a calculator?

You can find the GCD of 350, 450, 250 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.