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 123, 236, 710, 612 i.e. 1 largest integer that divides all the numbers equally.
GCD of 123, 236, 710, 612 is 1
GCD(123, 236, 710, 612) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 123, 236, 710, 612 is 1
GCD(123, 236, 710, 612) = 1
Given Input numbers are 123, 236, 710, 612
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 123
List of positive integer divisors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Divisors of 236
List of positive integer divisors of 236 that divides 236 without a remainder.
1, 2, 4, 59, 118, 236
Divisors of 710
List of positive integer divisors of 710 that divides 710 without a remainder.
1, 2, 5, 10, 71, 142, 355, 710
Divisors of 612
List of positive integer divisors of 612 that divides 612 without a remainder.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Greatest Common Divisior
We found the divisors of 123, 236, 710, 612 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 236, 710, 612 is 1.
Therefore, GCD of numbers 123, 236, 710, 612 is 1
Given Input Data is 123, 236, 710, 612
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 123 is 3 x 41
Prime Factorization of 236 is 2 x 2 x 59
Prime Factorization of 710 is 2 x 5 x 71
Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17
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(123, 236) = 29028
GCD(123, 236) = ( 123 x 236 ) / 29028
GCD(123, 236) = 29028 / 29028
GCD(123, 236) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 710
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 710) = 710
GCD(1, 710) = ( 1 x 710 ) / 710
GCD(1, 710) = 710 / 710
GCD(1, 710) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 612
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 612) = 612
GCD(1, 612) = ( 1 x 612 ) / 612
GCD(1, 612) = 612 / 612
GCD(1, 612) = 1
GCD of 123, 236, 710, 612 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 123, 236, 710, 612?
GCD of 123, 236, 710, 612 is 1
2. Where do I get the detailed procedure to find GCD of 123, 236, 710, 612?
You can find a detailed procedure to find GCD of 123, 236, 710, 612 on our page.
3. How to find GCD of 123, 236, 710, 612 on a calculator?
You can find the GCD of 123, 236, 710, 612 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.