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 774, 757, 917, 123 i.e. 1 largest integer that divides all the numbers equally.
GCD of 774, 757, 917, 123 is 1
GCD(774, 757, 917, 123) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 774, 757, 917, 123 is 1
GCD(774, 757, 917, 123) = 1
Given Input numbers are 774, 757, 917, 123
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 774
List of positive integer divisors of 774 that divides 774 without a remainder.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 757
List of positive integer divisors of 757 that divides 757 without a remainder.
1, 757
Divisors of 917
List of positive integer divisors of 917 that divides 917 without a remainder.
1, 7, 131, 917
Divisors of 123
List of positive integer divisors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Greatest Common Divisior
We found the divisors of 774, 757, 917, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 757, 917, 123 is 1.
Therefore, GCD of numbers 774, 757, 917, 123 is 1
Given Input Data is 774, 757, 917, 123
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 774 is 2 x 3 x 3 x 43
Prime Factorization of 757 is 757
Prime Factorization of 917 is 7 x 131
Prime Factorization of 123 is 3 x 41
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(774, 757) = 585918
GCD(774, 757) = ( 774 x 757 ) / 585918
GCD(774, 757) = 585918 / 585918
GCD(774, 757) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 917
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 917) = 917
GCD(1, 917) = ( 1 x 917 ) / 917
GCD(1, 917) = 917 / 917
GCD(1, 917) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 123
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 123) = 123
GCD(1, 123) = ( 1 x 123 ) / 123
GCD(1, 123) = 123 / 123
GCD(1, 123) = 1
GCD of 774, 757, 917, 123 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 774, 757, 917, 123?
GCD of 774, 757, 917, 123 is 1
2. Where do I get the detailed procedure to find GCD of 774, 757, 917, 123?
You can find a detailed procedure to find GCD of 774, 757, 917, 123 on our page.
3. How to find GCD of 774, 757, 917, 123 on a calculator?
You can find the GCD of 774, 757, 917, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.