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 916, 235, 20, 346 i.e. 1 largest integer that divides all the numbers equally.
GCD of 916, 235, 20, 346 is 1
GCD(916, 235, 20, 346) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 916, 235, 20, 346 is 1
GCD(916, 235, 20, 346) = 1
Given Input numbers are 916, 235, 20, 346
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 916
List of positive integer divisors of 916 that divides 916 without a remainder.
1, 2, 4, 229, 458, 916
Divisors of 235
List of positive integer divisors of 235 that divides 235 without a remainder.
1, 5, 47, 235
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
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 916, 235, 20, 346 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 235, 20, 346 is 1.
Therefore, GCD of numbers 916, 235, 20, 346 is 1
Given Input Data is 916, 235, 20, 346
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 916 is 2 x 2 x 229
Prime Factorization of 235 is 5 x 47
Prime Factorization of 20 is 2 x 2 x 5
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(916, 235) = 215260
GCD(916, 235) = ( 916 x 235 ) / 215260
GCD(916, 235) = 215260 / 215260
GCD(916, 235) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 20) = 20
GCD(1, 20) = ( 1 x 20 ) / 20
GCD(1, 20) = 20 / 20
GCD(1, 20) = 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 916, 235, 20, 346 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 916, 235, 20, 346?
GCD of 916, 235, 20, 346 is 1
2. Where do I get the detailed procedure to find GCD of 916, 235, 20, 346?
You can find a detailed procedure to find GCD of 916, 235, 20, 346 on our page.
3. How to find GCD of 916, 235, 20, 346 on a calculator?
You can find the GCD of 916, 235, 20, 346 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.