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 107, 202, 236, 242 i.e. 1 largest integer that divides all the numbers equally.
GCD of 107, 202, 236, 242 is 1
GCD(107, 202, 236, 242) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 107, 202, 236, 242 is 1
GCD(107, 202, 236, 242) = 1
Given Input numbers are 107, 202, 236, 242
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
Divisors of 202
List of positive integer divisors of 202 that divides 202 without a remainder.
1, 2, 101, 202
Divisors of 236
List of positive integer divisors of 236 that divides 236 without a remainder.
1, 2, 4, 59, 118, 236
Divisors of 242
List of positive integer divisors of 242 that divides 242 without a remainder.
1, 2, 11, 22, 121, 242
Greatest Common Divisior
We found the divisors of 107, 202, 236, 242 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 202, 236, 242 is 1.
Therefore, GCD of numbers 107, 202, 236, 242 is 1
Given Input Data is 107, 202, 236, 242
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 107 is 107
Prime Factorization of 202 is 2 x 101
Prime Factorization of 236 is 2 x 2 x 59
Prime Factorization of 242 is 2 x 11 x 11
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(107, 202) = 21614
GCD(107, 202) = ( 107 x 202 ) / 21614
GCD(107, 202) = 21614 / 21614
GCD(107, 202) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 236
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 236) = 236
GCD(1, 236) = ( 1 x 236 ) / 236
GCD(1, 236) = 236 / 236
GCD(1, 236) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 242
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 242) = 242
GCD(1, 242) = ( 1 x 242 ) / 242
GCD(1, 242) = 242 / 242
GCD(1, 242) = 1
GCD of 107, 202, 236, 242 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 107, 202, 236, 242?
GCD of 107, 202, 236, 242 is 1
2. Where do I get the detailed procedure to find GCD of 107, 202, 236, 242?
You can find a detailed procedure to find GCD of 107, 202, 236, 242 on our page.
3. How to find GCD of 107, 202, 236, 242 on a calculator?
You can find the GCD of 107, 202, 236, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.