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 291, 322, 687, 123 i.e. 1 largest integer that divides all the numbers equally.
GCD of 291, 322, 687, 123 is 1
GCD(291, 322, 687, 123) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 291, 322, 687, 123 is 1
GCD(291, 322, 687, 123) = 1
Given Input numbers are 291, 322, 687, 123
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 291
List of positive integer divisors of 291 that divides 291 without a remainder.
1, 3, 97, 291
Divisors of 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
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 291, 322, 687, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 291, 322, 687, 123 is 1.
Therefore, GCD of numbers 291, 322, 687, 123 is 1
Given Input Data is 291, 322, 687, 123
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 291 is 3 x 97
Prime Factorization of 322 is 2 x 7 x 23
Prime Factorization of 687 is 3 x 229
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(291, 322) = 93702
GCD(291, 322) = ( 291 x 322 ) / 93702
GCD(291, 322) = 93702 / 93702
GCD(291, 322) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 687
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 687) = 687
GCD(1, 687) = ( 1 x 687 ) / 687
GCD(1, 687) = 687 / 687
GCD(1, 687) = 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 291, 322, 687, 123 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 291, 322, 687, 123?
GCD of 291, 322, 687, 123 is 1
2. Where do I get the detailed procedure to find GCD of 291, 322, 687, 123?
You can find a detailed procedure to find GCD of 291, 322, 687, 123 on our page.
3. How to find GCD of 291, 322, 687, 123 on a calculator?
You can find the GCD of 291, 322, 687, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.