GCD of 307, 431, 85, 750 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 307, 431, 85, 750 i.e. 1 largest integer that divides all the numbers equally.

GCD of 307, 431, 85, 750 is 1

GCD(307, 431, 85, 750) = 1

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

GCD of

GCD of numbers 307, 431, 85, 750 is 1

GCD(307, 431, 85, 750) = 1

GCD of 307,431,85,750 Calculator

GCDof 307,431,85,750 is 1

Given Input numbers are 307, 431, 85, 750

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

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

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

Greatest Common Divisior

We found the divisors of 307, 431, 85, 750 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 431, 85, 750 is 1.

Therefore, GCD of numbers 307, 431, 85, 750 is 1

Finding GCD of 307, 431, 85, 750 using Prime Factorization

Given Input Data is 307, 431, 85, 750

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

Prime Factorization of 307 is 307

Prime Factorization of 431 is 431

Prime Factorization of 85 is 5 x 17

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

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

Finding GCD of 307, 431, 85, 750 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(307, 431) = 132317

GCD(307, 431) = ( 307 x 431 ) / 132317

GCD(307, 431) = 132317 / 132317

GCD(307, 431) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 85

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

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

GCD(1, 85) = 85 / 85

GCD(1, 85) = 1


Step3:

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

GCD of 307, 431, 85, 750 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 307, 431, 85, 750

1. What is the GCD of 307, 431, 85, 750?

GCD of 307, 431, 85, 750 is 1


2. Where do I get the detailed procedure to find GCD of 307, 431, 85, 750?

You can find a detailed procedure to find GCD of 307, 431, 85, 750 on our page.


3. How to find GCD of 307, 431, 85, 750 on a calculator?

You can find the GCD of 307, 431, 85, 750 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.