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 302, 202, 103 i.e. 1 largest integer that divides all the numbers equally.
GCD of 302, 202, 103 is 1
GCD(302, 202, 103) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 302, 202, 103 is 1
GCD(302, 202, 103) = 1
Given Input numbers are 302, 202, 103
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 302
List of positive integer divisors of 302 that divides 302 without a remainder.
1, 2, 151, 302
Divisors of 202
List of positive integer divisors of 202 that divides 202 without a remainder.
1, 2, 101, 202
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 302, 202, 103 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 202, 103 is 1.
Therefore, GCD of numbers 302, 202, 103 is 1
Given Input Data is 302, 202, 103
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 302 is 2 x 151
Prime Factorization of 202 is 2 x 101
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(302, 202) = 30502
GCD(302, 202) = ( 302 x 202 ) / 30502
GCD(302, 202) = 61004 / 30502
GCD(302, 202) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 103
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 103) = 206
GCD(2, 103) = ( 2 x 103 ) / 206
GCD(2, 103) = 206 / 206
GCD(2, 103) = 1
GCD of 302, 202, 103 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 302, 202, 103?
GCD of 302, 202, 103 is 1
2. Where do I get the detailed procedure to find GCD of 302, 202, 103?
You can find a detailed procedure to find GCD of 302, 202, 103 on our page.
3. How to find GCD of 302, 202, 103 on a calculator?
You can find the GCD of 302, 202, 103 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.