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 516, 351, 95, 120 i.e. 1 largest integer that divides all the numbers equally.
GCD of 516, 351, 95, 120 is 1
GCD(516, 351, 95, 120) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 516, 351, 95, 120 is 1
GCD(516, 351, 95, 120) = 1
Given Input numbers are 516, 351, 95, 120
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 516
List of positive integer divisors of 516 that divides 516 without a remainder.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
Divisors of 351
List of positive integer divisors of 351 that divides 351 without a remainder.
1, 3, 9, 13, 27, 39, 117, 351
Divisors of 95
List of positive integer divisors of 95 that divides 95 without a remainder.
1, 5, 19, 95
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
Greatest Common Divisior
We found the divisors of 516, 351, 95, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 351, 95, 120 is 1.
Therefore, GCD of numbers 516, 351, 95, 120 is 1
Given Input Data is 516, 351, 95, 120
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 516 is 2 x 2 x 3 x 43
Prime Factorization of 351 is 3 x 3 x 3 x 13
Prime Factorization of 95 is 5 x 19
Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5
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(516, 351) = 60372
GCD(516, 351) = ( 516 x 351 ) / 60372
GCD(516, 351) = 181116 / 60372
GCD(516, 351) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 95
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 95) = 285
GCD(3, 95) = ( 3 x 95 ) / 285
GCD(3, 95) = 285 / 285
GCD(3, 95) = 1
Step3:
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
GCD of 516, 351, 95, 120 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 516, 351, 95, 120?
GCD of 516, 351, 95, 120 is 1
2. Where do I get the detailed procedure to find GCD of 516, 351, 95, 120?
You can find a detailed procedure to find GCD of 516, 351, 95, 120 on our page.
3. How to find GCD of 516, 351, 95, 120 on a calculator?
You can find the GCD of 516, 351, 95, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.