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 208, 955, 312, 349 i.e. 1 largest integer that divides all the numbers equally.
GCD of 208, 955, 312, 349 is 1
GCD(208, 955, 312, 349) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 208, 955, 312, 349 is 1
GCD(208, 955, 312, 349) = 1
Given Input numbers are 208, 955, 312, 349
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 208
List of positive integer divisors of 208 that divides 208 without a remainder.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 955
List of positive integer divisors of 955 that divides 955 without a remainder.
1, 5, 191, 955
Divisors of 312
List of positive integer divisors of 312 that divides 312 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Greatest Common Divisior
We found the divisors of 208, 955, 312, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 955, 312, 349 is 1.
Therefore, GCD of numbers 208, 955, 312, 349 is 1
Given Input Data is 208, 955, 312, 349
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13
Prime Factorization of 955 is 5 x 191
Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13
Prime Factorization of 349 is 349
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(208, 955) = 198640
GCD(208, 955) = ( 208 x 955 ) / 198640
GCD(208, 955) = 198640 / 198640
GCD(208, 955) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 312
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 312) = 312
GCD(1, 312) = ( 1 x 312 ) / 312
GCD(1, 312) = 312 / 312
GCD(1, 312) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 349
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 349) = 349
GCD(1, 349) = ( 1 x 349 ) / 349
GCD(1, 349) = 349 / 349
GCD(1, 349) = 1
GCD of 208, 955, 312, 349 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 208, 955, 312, 349?
GCD of 208, 955, 312, 349 is 1
2. Where do I get the detailed procedure to find GCD of 208, 955, 312, 349?
You can find a detailed procedure to find GCD of 208, 955, 312, 349 on our page.
3. How to find GCD of 208, 955, 312, 349 on a calculator?
You can find the GCD of 208, 955, 312, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.