GCD of 772, 150, 223, 346 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 772, 150, 223, 346 i.e. 1 largest integer that divides all the numbers equally.

GCD of 772, 150, 223, 346 is 1

GCD(772, 150, 223, 346) = 1

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

GCD of

GCD of numbers 772, 150, 223, 346 is 1

GCD(772, 150, 223, 346) = 1

GCD of 772,150,223,346 Calculator

GCDof 772,150,223,346 is 1

Given Input numbers are 772, 150, 223, 346

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

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Greatest Common Divisior

We found the divisors of 772, 150, 223, 346 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 150, 223, 346 is 1.

Therefore, GCD of numbers 772, 150, 223, 346 is 1

Finding GCD of 772, 150, 223, 346 using Prime Factorization

Given Input Data is 772, 150, 223, 346

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

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 223 is 223

Prime Factorization of 346 is 2 x 173

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

Finding GCD of 772, 150, 223, 346 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(772, 150) = 57900

GCD(772, 150) = ( 772 x 150 ) / 57900

GCD(772, 150) = 115800 / 57900

GCD(772, 150) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 223

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

LCM(2, 223) = 446

GCD(2, 223) = ( 2 x 223 ) / 446

GCD(2, 223) = 446 / 446

GCD(2, 223) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 346

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

LCM(1, 346) = 346

GCD(1, 346) = ( 1 x 346 ) / 346

GCD(1, 346) = 346 / 346

GCD(1, 346) = 1

GCD of 772, 150, 223, 346 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 772, 150, 223, 346

1. What is the GCD of 772, 150, 223, 346?

GCD of 772, 150, 223, 346 is 1


2. Where do I get the detailed procedure to find GCD of 772, 150, 223, 346?

You can find a detailed procedure to find GCD of 772, 150, 223, 346 on our page.


3. How to find GCD of 772, 150, 223, 346 on a calculator?

You can find the GCD of 772, 150, 223, 346 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.