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 58, 831, 120, 347 i.e. 1 largest integer that divides all the numbers equally.
GCD of 58, 831, 120, 347 is 1
GCD(58, 831, 120, 347) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 58, 831, 120, 347 is 1
GCD(58, 831, 120, 347) = 1
Given Input numbers are 58, 831, 120, 347
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 831
List of positive integer divisors of 831 that divides 831 without a remainder.
1, 3, 277, 831
Divisors of 120
List of positive integer divisors of 120 that divides 120 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 347
List of positive integer divisors of 347 that divides 347 without a remainder.
1, 347
Greatest Common Divisior
We found the divisors of 58, 831, 120, 347 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 831, 120, 347 is 1.
Therefore, GCD of numbers 58, 831, 120, 347 is 1
Given Input Data is 58, 831, 120, 347
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 58 is 2 x 29
Prime Factorization of 831 is 3 x 277
Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5
Prime Factorization of 347 is 347
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(58, 831) = 48198
GCD(58, 831) = ( 58 x 831 ) / 48198
GCD(58, 831) = 48198 / 48198
GCD(58, 831) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 120
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 120) = 120
GCD(1, 120) = ( 1 x 120 ) / 120
GCD(1, 120) = 120 / 120
GCD(1, 120) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 347
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 347) = 347
GCD(1, 347) = ( 1 x 347 ) / 347
GCD(1, 347) = 347 / 347
GCD(1, 347) = 1
GCD of 58, 831, 120, 347 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 58, 831, 120, 347?
GCD of 58, 831, 120, 347 is 1
2. Where do I get the detailed procedure to find GCD of 58, 831, 120, 347?
You can find a detailed procedure to find GCD of 58, 831, 120, 347 on our page.
3. How to find GCD of 58, 831, 120, 347 on a calculator?
You can find the GCD of 58, 831, 120, 347 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.