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, 429, 902, 768 i.e. 1 largest integer that divides all the numbers equally.
GCD of 123, 429, 902, 768 is 1
GCD(123, 429, 902, 768) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 123, 429, 902, 768 is 1
GCD(123, 429, 902, 768) = 1
Given Input numbers are 123, 429, 902, 768
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 429
List of positive integer divisors of 429 that divides 429 without a remainder.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 902
List of positive integer divisors of 902 that divides 902 without a remainder.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 768
List of positive integer divisors of 768 that divides 768 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Greatest Common Divisior
We found the divisors of 123, 429, 902, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 429, 902, 768 is 1.
Therefore, GCD of numbers 123, 429, 902, 768 is 1
Given Input Data is 123, 429, 902, 768
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 123 is 3 x 41
Prime Factorization of 429 is 3 x 11 x 13
Prime Factorization of 902 is 2 x 11 x 41
Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
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, 429) = 17589
GCD(123, 429) = ( 123 x 429 ) / 17589
GCD(123, 429) = 52767 / 17589
GCD(123, 429) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 902
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 902) = 2706
GCD(3, 902) = ( 3 x 902 ) / 2706
GCD(3, 902) = 2706 / 2706
GCD(3, 902) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 768
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 768) = 768
GCD(1, 768) = ( 1 x 768 ) / 768
GCD(1, 768) = 768 / 768
GCD(1, 768) = 1
GCD of 123, 429, 902, 768 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 123, 429, 902, 768?
GCD of 123, 429, 902, 768 is 1
2. Where do I get the detailed procedure to find GCD of 123, 429, 902, 768?
You can find a detailed procedure to find GCD of 123, 429, 902, 768 on our page.
3. How to find GCD of 123, 429, 902, 768 on a calculator?
You can find the GCD of 123, 429, 902, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.