GCD of 349, 224, 750, 624 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 349, 224, 750, 624 i.e. 1 largest integer that divides all the numbers equally.

GCD of 349, 224, 750, 624 is 1

GCD(349, 224, 750, 624) = 1

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

GCD of

GCD of numbers 349, 224, 750, 624 is 1

GCD(349, 224, 750, 624) = 1

GCD of 349,224,750,624 Calculator

GCDof 349,224,750,624 is 1

Given Input numbers are 349, 224, 750, 624

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

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Greatest Common Divisior

We found the divisors of 349, 224, 750, 624 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 224, 750, 624 is 1.

Therefore, GCD of numbers 349, 224, 750, 624 is 1

Finding GCD of 349, 224, 750, 624 using Prime Factorization

Given Input Data is 349, 224, 750, 624

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

Prime Factorization of 349 is 349

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

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

Finding GCD of 349, 224, 750, 624 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(349, 224) = 78176

GCD(349, 224) = ( 349 x 224 ) / 78176

GCD(349, 224) = 78176 / 78176

GCD(349, 224) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 750

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

LCM(1, 750) = 750

GCD(1, 750) = ( 1 x 750 ) / 750

GCD(1, 750) = 750 / 750

GCD(1, 750) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 624

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

LCM(1, 624) = 624

GCD(1, 624) = ( 1 x 624 ) / 624

GCD(1, 624) = 624 / 624

GCD(1, 624) = 1

GCD of 349, 224, 750, 624 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 349, 224, 750, 624

1. What is the GCD of 349, 224, 750, 624?

GCD of 349, 224, 750, 624 is 1


2. Where do I get the detailed procedure to find GCD of 349, 224, 750, 624?

You can find a detailed procedure to find GCD of 349, 224, 750, 624 on our page.


3. How to find GCD of 349, 224, 750, 624 on a calculator?

You can find the GCD of 349, 224, 750, 624 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.