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 345, 916, 95, 397 i.e. 1 largest integer that divides all the numbers equally.
GCD of 345, 916, 95, 397 is 1
GCD(345, 916, 95, 397) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 345, 916, 95, 397 is 1
GCD(345, 916, 95, 397) = 1
Given Input numbers are 345, 916, 95, 397
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 916
List of positive integer divisors of 916 that divides 916 without a remainder.
1, 2, 4, 229, 458, 916
Divisors of 95
List of positive integer divisors of 95 that divides 95 without a remainder.
1, 5, 19, 95
Divisors of 397
List of positive integer divisors of 397 that divides 397 without a remainder.
1, 397
Greatest Common Divisior
We found the divisors of 345, 916, 95, 397 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 916, 95, 397 is 1.
Therefore, GCD of numbers 345, 916, 95, 397 is 1
Given Input Data is 345, 916, 95, 397
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 345 is 3 x 5 x 23
Prime Factorization of 916 is 2 x 2 x 229
Prime Factorization of 95 is 5 x 19
Prime Factorization of 397 is 397
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(345, 916) = 316020
GCD(345, 916) = ( 345 x 916 ) / 316020
GCD(345, 916) = 316020 / 316020
GCD(345, 916) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 95
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 95) = 95
GCD(1, 95) = ( 1 x 95 ) / 95
GCD(1, 95) = 95 / 95
GCD(1, 95) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 397
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 397) = 397
GCD(1, 397) = ( 1 x 397 ) / 397
GCD(1, 397) = 397 / 397
GCD(1, 397) = 1
GCD of 345, 916, 95, 397 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 345, 916, 95, 397?
GCD of 345, 916, 95, 397 is 1
2. Where do I get the detailed procedure to find GCD of 345, 916, 95, 397?
You can find a detailed procedure to find GCD of 345, 916, 95, 397 on our page.
3. How to find GCD of 345, 916, 95, 397 on a calculator?
You can find the GCD of 345, 916, 95, 397 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.