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 352, 113, 50, 311 i.e. 1 largest integer that divides all the numbers equally.
GCD of 352, 113, 50, 311 is 1
GCD(352, 113, 50, 311) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 352, 113, 50, 311 is 1
GCD(352, 113, 50, 311) = 1
Given Input numbers are 352, 113, 50, 311
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 352
List of positive integer divisors of 352 that divides 352 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 113
List of positive integer divisors of 113 that divides 113 without a remainder.
1, 113
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 311
List of positive integer divisors of 311 that divides 311 without a remainder.
1, 311
Greatest Common Divisior
We found the divisors of 352, 113, 50, 311 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 113, 50, 311 is 1.
Therefore, GCD of numbers 352, 113, 50, 311 is 1
Given Input Data is 352, 113, 50, 311
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 113 is 113
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 311 is 311
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(352, 113) = 39776
GCD(352, 113) = ( 352 x 113 ) / 39776
GCD(352, 113) = 39776 / 39776
GCD(352, 113) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 50
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 50) = 50
GCD(1, 50) = ( 1 x 50 ) / 50
GCD(1, 50) = 50 / 50
GCD(1, 50) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 311
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 311) = 311
GCD(1, 311) = ( 1 x 311 ) / 311
GCD(1, 311) = 311 / 311
GCD(1, 311) = 1
GCD of 352, 113, 50, 311 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 352, 113, 50, 311?
GCD of 352, 113, 50, 311 is 1
2. Where do I get the detailed procedure to find GCD of 352, 113, 50, 311?
You can find a detailed procedure to find GCD of 352, 113, 50, 311 on our page.
3. How to find GCD of 352, 113, 50, 311 on a calculator?
You can find the GCD of 352, 113, 50, 311 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.