GCD of 772, 174, 91, 921 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, 174, 91, 921 i.e. 1 largest integer that divides all the numbers equally.

GCD of 772, 174, 91, 921 is 1

GCD(772, 174, 91, 921) = 1

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

GCD of

GCD of numbers 772, 174, 91, 921 is 1

GCD(772, 174, 91, 921) = 1

GCD of 772,174,91,921 Calculator

GCDof 772,174,91,921 is 1

Given Input numbers are 772, 174, 91, 921

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 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Greatest Common Divisior

We found the divisors of 772, 174, 91, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 174, 91, 921 is 1.

Therefore, GCD of numbers 772, 174, 91, 921 is 1

Finding GCD of 772, 174, 91, 921 using Prime Factorization

Given Input Data is 772, 174, 91, 921

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 174 is 2 x 3 x 29

Prime Factorization of 91 is 7 x 13

Prime Factorization of 921 is 3 x 307

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

Finding GCD of 772, 174, 91, 921 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, 174) = 67164

GCD(772, 174) = ( 772 x 174 ) / 67164

GCD(772, 174) = 134328 / 67164

GCD(772, 174) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 91

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

LCM(2, 91) = 182

GCD(2, 91) = ( 2 x 91 ) / 182

GCD(2, 91) = 182 / 182

GCD(2, 91) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 921

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

LCM(1, 921) = 921

GCD(1, 921) = ( 1 x 921 ) / 921

GCD(1, 921) = 921 / 921

GCD(1, 921) = 1

GCD of 772, 174, 91, 921 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 772, 174, 91, 921

1. What is the GCD of 772, 174, 91, 921?

GCD of 772, 174, 91, 921 is 1


2. Where do I get the detailed procedure to find GCD of 772, 174, 91, 921?

You can find a detailed procedure to find GCD of 772, 174, 91, 921 on our page.


3. How to find GCD of 772, 174, 91, 921 on a calculator?

You can find the GCD of 772, 174, 91, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.