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 356, 342, 209, 103 i.e. 1 largest integer that divides all the numbers equally.
GCD of 356, 342, 209, 103 is 1
GCD(356, 342, 209, 103) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 356, 342, 209, 103 is 1
GCD(356, 342, 209, 103) = 1
Given Input numbers are 356, 342, 209, 103
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 356
List of positive integer divisors of 356 that divides 356 without a remainder.
1, 2, 4, 89, 178, 356
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 209
List of positive integer divisors of 209 that divides 209 without a remainder.
1, 11, 19, 209
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Greatest Common Divisior
We found the divisors of 356, 342, 209, 103 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 342, 209, 103 is 1.
Therefore, GCD of numbers 356, 342, 209, 103 is 1
Given Input Data is 356, 342, 209, 103
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 356 is 2 x 2 x 89
Prime Factorization of 342 is 2 x 3 x 3 x 19
Prime Factorization of 209 is 11 x 19
Prime Factorization of 103 is 103
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(356, 342) = 60876
GCD(356, 342) = ( 356 x 342 ) / 60876
GCD(356, 342) = 121752 / 60876
GCD(356, 342) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 209
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 209) = 418
GCD(2, 209) = ( 2 x 209 ) / 418
GCD(2, 209) = 418 / 418
GCD(2, 209) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 103
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 103) = 103
GCD(1, 103) = ( 1 x 103 ) / 103
GCD(1, 103) = 103 / 103
GCD(1, 103) = 1
GCD of 356, 342, 209, 103 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 356, 342, 209, 103?
GCD of 356, 342, 209, 103 is 1
2. Where do I get the detailed procedure to find GCD of 356, 342, 209, 103?
You can find a detailed procedure to find GCD of 356, 342, 209, 103 on our page.
3. How to find GCD of 356, 342, 209, 103 on a calculator?
You can find the GCD of 356, 342, 209, 103 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.