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 378, 916, 16, 510 i.e. 2 largest integer that divides all the numbers equally.
GCD of 378, 916, 16, 510 is 2
GCD(378, 916, 16, 510) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 378, 916, 16, 510 is 2
GCD(378, 916, 16, 510) = 2
Given Input numbers are 378, 916, 16, 510
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 916
List of positive integer divisors of 916 that divides 916 without a remainder.
1, 2, 4, 229, 458, 916
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 510
List of positive integer divisors of 510 that divides 510 without a remainder.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Greatest Common Divisior
We found the divisors of 378, 916, 16, 510 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 916, 16, 510 is 2.
Therefore, GCD of numbers 378, 916, 16, 510 is 2
Given Input Data is 378, 916, 16, 510
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 916 is 2 x 2 x 229
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 510 is 2 x 3 x 5 x 17
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(378, 916) = 173124
GCD(378, 916) = ( 378 x 916 ) / 173124
GCD(378, 916) = 346248 / 173124
GCD(378, 916) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 16
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 16) = 16
GCD(2, 16) = ( 2 x 16 ) / 16
GCD(2, 16) = 32 / 16
GCD(2, 16) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 510
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 510) = 510
GCD(2, 510) = ( 2 x 510 ) / 510
GCD(2, 510) = 1020 / 510
GCD(2, 510) = 2
GCD of 378, 916, 16, 510 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 378, 916, 16, 510?
GCD of 378, 916, 16, 510 is 2
2. Where do I get the detailed procedure to find GCD of 378, 916, 16, 510?
You can find a detailed procedure to find GCD of 378, 916, 16, 510 on our page.
3. How to find GCD of 378, 916, 16, 510 on a calculator?
You can find the GCD of 378, 916, 16, 510 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.