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, 687, 61, 868 i.e. 1 largest integer that divides all the numbers equally.
GCD of 321, 687, 61, 868 is 1
GCD(321, 687, 61, 868) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 321, 687, 61, 868 is 1
GCD(321, 687, 61, 868) = 1
Given Input numbers are 321, 687, 61, 868
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 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 868
List of positive integer divisors of 868 that divides 868 without a remainder.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Greatest Common Divisior
We found the divisors of 321, 687, 61, 868 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 687, 61, 868 is 1.
Therefore, GCD of numbers 321, 687, 61, 868 is 1
Given Input Data is 321, 687, 61, 868
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 321 is 3 x 107
Prime Factorization of 687 is 3 x 229
Prime Factorization of 61 is 61
Prime Factorization of 868 is 2 x 2 x 7 x 31
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, 687) = 73509
GCD(321, 687) = ( 321 x 687 ) / 73509
GCD(321, 687) = 220527 / 73509
GCD(321, 687) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 61) = 183
GCD(3, 61) = ( 3 x 61 ) / 183
GCD(3, 61) = 183 / 183
GCD(3, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 868
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 868) = 868
GCD(1, 868) = ( 1 x 868 ) / 868
GCD(1, 868) = 868 / 868
GCD(1, 868) = 1
GCD of 321, 687, 61, 868 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 321, 687, 61, 868?
GCD of 321, 687, 61, 868 is 1
2. Where do I get the detailed procedure to find GCD of 321, 687, 61, 868?
You can find a detailed procedure to find GCD of 321, 687, 61, 868 on our page.
3. How to find GCD of 321, 687, 61, 868 on a calculator?
You can find the GCD of 321, 687, 61, 868 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.