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 35, 467, 342, 393 i.e. 1 largest integer that divides all the numbers equally.
GCD of 35, 467, 342, 393 is 1
GCD(35, 467, 342, 393) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 35, 467, 342, 393 is 1
GCD(35, 467, 342, 393) = 1
Given Input numbers are 35, 467, 342, 393
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 467
List of positive integer divisors of 467 that divides 467 without a remainder.
1, 467
Divisors of 342
List of positive integer divisors of 342 that divides 342 without a remainder.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 393
List of positive integer divisors of 393 that divides 393 without a remainder.
1, 3, 131, 393
Greatest Common Divisior
We found the divisors of 35, 467, 342, 393 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 467, 342, 393 is 1.
Therefore, GCD of numbers 35, 467, 342, 393 is 1
Given Input Data is 35, 467, 342, 393
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 35 is 5 x 7
Prime Factorization of 467 is 467
Prime Factorization of 342 is 2 x 3 x 3 x 19
Prime Factorization of 393 is 3 x 131
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(35, 467) = 16345
GCD(35, 467) = ( 35 x 467 ) / 16345
GCD(35, 467) = 16345 / 16345
GCD(35, 467) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 342
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 342) = 342
GCD(1, 342) = ( 1 x 342 ) / 342
GCD(1, 342) = 342 / 342
GCD(1, 342) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 393
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 393) = 393
GCD(1, 393) = ( 1 x 393 ) / 393
GCD(1, 393) = 393 / 393
GCD(1, 393) = 1
GCD of 35, 467, 342, 393 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 35, 467, 342, 393?
GCD of 35, 467, 342, 393 is 1
2. Where do I get the detailed procedure to find GCD of 35, 467, 342, 393?
You can find a detailed procedure to find GCD of 35, 467, 342, 393 on our page.
3. How to find GCD of 35, 467, 342, 393 on a calculator?
You can find the GCD of 35, 467, 342, 393 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.