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 341, 187, 48, 116 i.e. 1 largest integer that divides all the numbers equally.
GCD of 341, 187, 48, 116 is 1
GCD(341, 187, 48, 116) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 341, 187, 48, 116 is 1
GCD(341, 187, 48, 116) = 1
Given Input numbers are 341, 187, 48, 116
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 341
List of positive integer divisors of 341 that divides 341 without a remainder.
1, 11, 31, 341
Divisors of 187
List of positive integer divisors of 187 that divides 187 without a remainder.
1, 11, 17, 187
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Greatest Common Divisior
We found the divisors of 341, 187, 48, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 341, 187, 48, 116 is 1.
Therefore, GCD of numbers 341, 187, 48, 116 is 1
Given Input Data is 341, 187, 48, 116
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 341 is 11 x 31
Prime Factorization of 187 is 11 x 17
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 116 is 2 x 2 x 29
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(341, 187) = 5797
GCD(341, 187) = ( 341 x 187 ) / 5797
GCD(341, 187) = 63767 / 5797
GCD(341, 187) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 48) = 528
GCD(11, 48) = ( 11 x 48 ) / 528
GCD(11, 48) = 528 / 528
GCD(11, 48) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 116
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 116) = 116
GCD(1, 116) = ( 1 x 116 ) / 116
GCD(1, 116) = 116 / 116
GCD(1, 116) = 1
GCD of 341, 187, 48, 116 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 341, 187, 48, 116?
GCD of 341, 187, 48, 116 is 1
2. Where do I get the detailed procedure to find GCD of 341, 187, 48, 116?
You can find a detailed procedure to find GCD of 341, 187, 48, 116 on our page.
3. How to find GCD of 341, 187, 48, 116 on a calculator?
You can find the GCD of 341, 187, 48, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.