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 339, 945, 302, 668 i.e. 1 largest integer that divides all the numbers equally.
GCD of 339, 945, 302, 668 is 1
GCD(339, 945, 302, 668) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 339, 945, 302, 668 is 1
GCD(339, 945, 302, 668) = 1
Given Input numbers are 339, 945, 302, 668
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 339
List of positive integer divisors of 339 that divides 339 without a remainder.
1, 3, 113, 339
Divisors of 945
List of positive integer divisors of 945 that divides 945 without a remainder.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 302
List of positive integer divisors of 302 that divides 302 without a remainder.
1, 2, 151, 302
Divisors of 668
List of positive integer divisors of 668 that divides 668 without a remainder.
1, 2, 4, 167, 334, 668
Greatest Common Divisior
We found the divisors of 339, 945, 302, 668 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 339, 945, 302, 668 is 1.
Therefore, GCD of numbers 339, 945, 302, 668 is 1
Given Input Data is 339, 945, 302, 668
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 339 is 3 x 113
Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7
Prime Factorization of 302 is 2 x 151
Prime Factorization of 668 is 2 x 2 x 167
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(339, 945) = 106785
GCD(339, 945) = ( 339 x 945 ) / 106785
GCD(339, 945) = 320355 / 106785
GCD(339, 945) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 302
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 302) = 906
GCD(3, 302) = ( 3 x 302 ) / 906
GCD(3, 302) = 906 / 906
GCD(3, 302) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 668
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 668) = 668
GCD(1, 668) = ( 1 x 668 ) / 668
GCD(1, 668) = 668 / 668
GCD(1, 668) = 1
GCD of 339, 945, 302, 668 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 339, 945, 302, 668?
GCD of 339, 945, 302, 668 is 1
2. Where do I get the detailed procedure to find GCD of 339, 945, 302, 668?
You can find a detailed procedure to find GCD of 339, 945, 302, 668 on our page.
3. How to find GCD of 339, 945, 302, 668 on a calculator?
You can find the GCD of 339, 945, 302, 668 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.