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 935, 975, 67, 346 i.e. 1 largest integer that divides all the numbers equally.
GCD of 935, 975, 67, 346 is 1
GCD(935, 975, 67, 346) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 935, 975, 67, 346 is 1
GCD(935, 975, 67, 346) = 1
Given Input numbers are 935, 975, 67, 346
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 935
List of positive integer divisors of 935 that divides 935 without a remainder.
1, 5, 11, 17, 55, 85, 187, 935
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 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Greatest Common Divisior
We found the divisors of 935, 975, 67, 346 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 935, 975, 67, 346 is 1.
Therefore, GCD of numbers 935, 975, 67, 346 is 1
Given Input Data is 935, 975, 67, 346
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 935 is 5 x 11 x 17
Prime Factorization of 975 is 3 x 5 x 5 x 13
Prime Factorization of 67 is 67
Prime Factorization of 346 is 2 x 173
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(935, 975) = 182325
GCD(935, 975) = ( 935 x 975 ) / 182325
GCD(935, 975) = 911625 / 182325
GCD(935, 975) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 67) = 335
GCD(5, 67) = ( 5 x 67 ) / 335
GCD(5, 67) = 335 / 335
GCD(5, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 346
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 346) = 346
GCD(1, 346) = ( 1 x 346 ) / 346
GCD(1, 346) = 346 / 346
GCD(1, 346) = 1
GCD of 935, 975, 67, 346 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 935, 975, 67, 346?
GCD of 935, 975, 67, 346 is 1
2. Where do I get the detailed procedure to find GCD of 935, 975, 67, 346?
You can find a detailed procedure to find GCD of 935, 975, 67, 346 on our page.
3. How to find GCD of 935, 975, 67, 346 on a calculator?
You can find the GCD of 935, 975, 67, 346 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.