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 numbers 772, 174, 91, 921 is 1
GCD(772, 174, 91, 921) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.