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 351, 439, 975, 109 i.e. 1 largest integer that divides all the numbers equally.
GCD of 351, 439, 975, 109 is 1
GCD(351, 439, 975, 109) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 351, 439, 975, 109 is 1
GCD(351, 439, 975, 109) = 1
Given Input numbers are 351, 439, 975, 109
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 351
List of positive integer divisors of 351 that divides 351 without a remainder.
1, 3, 9, 13, 27, 39, 117, 351
Divisors of 439
List of positive integer divisors of 439 that divides 439 without a remainder.
1, 439
Divisors of 975
List of positive integer divisors of 975 that divides 975 without a remainder.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 109
List of positive integer divisors of 109 that divides 109 without a remainder.
1, 109
Greatest Common Divisior
We found the divisors of 351, 439, 975, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 351, 439, 975, 109 is 1.
Therefore, GCD of numbers 351, 439, 975, 109 is 1
Given Input Data is 351, 439, 975, 109
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 351 is 3 x 3 x 3 x 13
Prime Factorization of 439 is 439
Prime Factorization of 975 is 3 x 5 x 5 x 13
Prime Factorization of 109 is 109
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(351, 439) = 154089
GCD(351, 439) = ( 351 x 439 ) / 154089
GCD(351, 439) = 154089 / 154089
GCD(351, 439) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 975
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 975) = 975
GCD(1, 975) = ( 1 x 975 ) / 975
GCD(1, 975) = 975 / 975
GCD(1, 975) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 109
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 109) = 109
GCD(1, 109) = ( 1 x 109 ) / 109
GCD(1, 109) = 109 / 109
GCD(1, 109) = 1
GCD of 351, 439, 975, 109 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 351, 439, 975, 109?
GCD of 351, 439, 975, 109 is 1
2. Where do I get the detailed procedure to find GCD of 351, 439, 975, 109?
You can find a detailed procedure to find GCD of 351, 439, 975, 109 on our page.
3. How to find GCD of 351, 439, 975, 109 on a calculator?
You can find the GCD of 351, 439, 975, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.