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 347, 138, 395, 676 i.e. 1 largest integer that divides all the numbers equally.
GCD of 347, 138, 395, 676 is 1
GCD(347, 138, 395, 676) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 347, 138, 395, 676 is 1
GCD(347, 138, 395, 676) = 1
Given Input numbers are 347, 138, 395, 676
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 347
List of positive integer divisors of 347 that divides 347 without a remainder.
1, 347
Divisors of 138
List of positive integer divisors of 138 that divides 138 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 395
List of positive integer divisors of 395 that divides 395 without a remainder.
1, 5, 79, 395
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Greatest Common Divisior
We found the divisors of 347, 138, 395, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 347, 138, 395, 676 is 1.
Therefore, GCD of numbers 347, 138, 395, 676 is 1
Given Input Data is 347, 138, 395, 676
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 347 is 347
Prime Factorization of 138 is 2 x 3 x 23
Prime Factorization of 395 is 5 x 79
Prime Factorization of 676 is 2 x 2 x 13 x 13
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(347, 138) = 47886
GCD(347, 138) = ( 347 x 138 ) / 47886
GCD(347, 138) = 47886 / 47886
GCD(347, 138) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 395
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 395) = 395
GCD(1, 395) = ( 1 x 395 ) / 395
GCD(1, 395) = 395 / 395
GCD(1, 395) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 676
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 676) = 676
GCD(1, 676) = ( 1 x 676 ) / 676
GCD(1, 676) = 676 / 676
GCD(1, 676) = 1
GCD of 347, 138, 395, 676 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 347, 138, 395, 676?
GCD of 347, 138, 395, 676 is 1
2. Where do I get the detailed procedure to find GCD of 347, 138, 395, 676?
You can find a detailed procedure to find GCD of 347, 138, 395, 676 on our page.
3. How to find GCD of 347, 138, 395, 676 on a calculator?
You can find the GCD of 347, 138, 395, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.