GCD of 307, 752, 50, 677 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, 752, 50, 677 i.e. 1 largest integer that divides all the numbers equally.

GCD of 307, 752, 50, 677 is 1

GCD(307, 752, 50, 677) = 1

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

GCD of

GCD of numbers 307, 752, 50, 677 is 1

GCD(307, 752, 50, 677) = 1

GCD of 307,752,50,677 Calculator

GCDof 307,752,50,677 is 1

Given Input numbers are 307, 752, 50, 677

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 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Greatest Common Divisior

We found the divisors of 307, 752, 50, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 752, 50, 677 is 1.

Therefore, GCD of numbers 307, 752, 50, 677 is 1

Finding GCD of 307, 752, 50, 677 using Prime Factorization

Given Input Data is 307, 752, 50, 677

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

Prime Factorization of 307 is 307

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 677 is 677

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

Finding GCD of 307, 752, 50, 677 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, 752) = 230864

GCD(307, 752) = ( 307 x 752 ) / 230864

GCD(307, 752) = 230864 / 230864

GCD(307, 752) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 50

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

LCM(1, 50) = 50

GCD(1, 50) = ( 1 x 50 ) / 50

GCD(1, 50) = 50 / 50

GCD(1, 50) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 677

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

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

GCD(1, 677) = 677 / 677

GCD(1, 677) = 1

GCD of 307, 752, 50, 677 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 307, 752, 50, 677

1. What is the GCD of 307, 752, 50, 677?

GCD of 307, 752, 50, 677 is 1


2. Where do I get the detailed procedure to find GCD of 307, 752, 50, 677?

You can find a detailed procedure to find GCD of 307, 752, 50, 677 on our page.


3. How to find GCD of 307, 752, 50, 677 on a calculator?

You can find the GCD of 307, 752, 50, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.