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, 356, 50, 187 i.e. 1 largest integer that divides all the numbers equally.
GCD of 302, 356, 50, 187 is 1
GCD(302, 356, 50, 187) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 302, 356, 50, 187 is 1
GCD(302, 356, 50, 187) = 1
Given Input numbers are 302, 356, 50, 187
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 356
List of positive integer divisors of 356 that divides 356 without a remainder.
1, 2, 4, 89, 178, 356
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 187
List of positive integer divisors of 187 that divides 187 without a remainder.
1, 11, 17, 187
Greatest Common Divisior
We found the divisors of 302, 356, 50, 187 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 356, 50, 187 is 1.
Therefore, GCD of numbers 302, 356, 50, 187 is 1
Given Input Data is 302, 356, 50, 187
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 302 is 2 x 151
Prime Factorization of 356 is 2 x 2 x 89
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 187 is 11 x 17
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, 356) = 53756
GCD(302, 356) = ( 302 x 356 ) / 53756
GCD(302, 356) = 107512 / 53756
GCD(302, 356) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 50
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 50) = 50
GCD(2, 50) = ( 2 x 50 ) / 50
GCD(2, 50) = 100 / 50
GCD(2, 50) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 187
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 187) = 374
GCD(2, 187) = ( 2 x 187 ) / 374
GCD(2, 187) = 374 / 374
GCD(2, 187) = 1
GCD of 302, 356, 50, 187 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 302, 356, 50, 187?
GCD of 302, 356, 50, 187 is 1
2. Where do I get the detailed procedure to find GCD of 302, 356, 50, 187?
You can find a detailed procedure to find GCD of 302, 356, 50, 187 on our page.
3. How to find GCD of 302, 356, 50, 187 on a calculator?
You can find the GCD of 302, 356, 50, 187 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.