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 321, 876, 78, 646 i.e. 1 largest integer that divides all the numbers equally.
GCD of 321, 876, 78, 646 is 1
GCD(321, 876, 78, 646) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 321, 876, 78, 646 is 1
GCD(321, 876, 78, 646) = 1
Given Input numbers are 321, 876, 78, 646
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 321
List of positive integer divisors of 321 that divides 321 without a remainder.
1, 3, 107, 321
Divisors of 876
List of positive integer divisors of 876 that divides 876 without a remainder.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 646
List of positive integer divisors of 646 that divides 646 without a remainder.
1, 2, 17, 19, 34, 38, 323, 646
Greatest Common Divisior
We found the divisors of 321, 876, 78, 646 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 876, 78, 646 is 1.
Therefore, GCD of numbers 321, 876, 78, 646 is 1
Given Input Data is 321, 876, 78, 646
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 321 is 3 x 107
Prime Factorization of 876 is 2 x 2 x 3 x 73
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 646 is 2 x 17 x 19
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(321, 876) = 93732
GCD(321, 876) = ( 321 x 876 ) / 93732
GCD(321, 876) = 281196 / 93732
GCD(321, 876) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 78) = 78
GCD(3, 78) = ( 3 x 78 ) / 78
GCD(3, 78) = 234 / 78
GCD(3, 78) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 646
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 646) = 1938
GCD(3, 646) = ( 3 x 646 ) / 1938
GCD(3, 646) = 1938 / 1938
GCD(3, 646) = 1
GCD of 321, 876, 78, 646 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 321, 876, 78, 646?
GCD of 321, 876, 78, 646 is 1
2. Where do I get the detailed procedure to find GCD of 321, 876, 78, 646?
You can find a detailed procedure to find GCD of 321, 876, 78, 646 on our page.
3. How to find GCD of 321, 876, 78, 646 on a calculator?
You can find the GCD of 321, 876, 78, 646 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.