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, 954, 67, 679 i.e. 1 largest integer that divides all the numbers equally.
GCD of 321, 954, 67, 679 is 1
GCD(321, 954, 67, 679) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 321, 954, 67, 679 is 1
GCD(321, 954, 67, 679) = 1
Given Input numbers are 321, 954, 67, 679
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 954
List of positive integer divisors of 954 that divides 954 without a remainder.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 679
List of positive integer divisors of 679 that divides 679 without a remainder.
1, 7, 97, 679
Greatest Common Divisior
We found the divisors of 321, 954, 67, 679 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 954, 67, 679 is 1.
Therefore, GCD of numbers 321, 954, 67, 679 is 1
Given Input Data is 321, 954, 67, 679
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 321 is 3 x 107
Prime Factorization of 954 is 2 x 3 x 3 x 53
Prime Factorization of 67 is 67
Prime Factorization of 679 is 7 x 97
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, 954) = 102078
GCD(321, 954) = ( 321 x 954 ) / 102078
GCD(321, 954) = 306234 / 102078
GCD(321, 954) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 67) = 201
GCD(3, 67) = ( 3 x 67 ) / 201
GCD(3, 67) = 201 / 201
GCD(3, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 679
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 679) = 679
GCD(1, 679) = ( 1 x 679 ) / 679
GCD(1, 679) = 679 / 679
GCD(1, 679) = 1
GCD of 321, 954, 67, 679 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 321, 954, 67, 679?
GCD of 321, 954, 67, 679 is 1
2. Where do I get the detailed procedure to find GCD of 321, 954, 67, 679?
You can find a detailed procedure to find GCD of 321, 954, 67, 679 on our page.
3. How to find GCD of 321, 954, 67, 679 on a calculator?
You can find the GCD of 321, 954, 67, 679 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.