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 312, 650, 936, 246 i.e. 2 largest integer that divides all the numbers equally.
GCD of 312, 650, 936, 246 is 2
GCD(312, 650, 936, 246) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 312, 650, 936, 246 is 2
GCD(312, 650, 936, 246) = 2
Given Input numbers are 312, 650, 936, 246
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 312
List of positive integer divisors of 312 that divides 312 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 650
List of positive integer divisors of 650 that divides 650 without a remainder.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
Divisors of 936
List of positive integer divisors of 936 that divides 936 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Divisors of 246
List of positive integer divisors of 246 that divides 246 without a remainder.
1, 2, 3, 6, 41, 82, 123, 246
Greatest Common Divisior
We found the divisors of 312, 650, 936, 246 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 650, 936, 246 is 2.
Therefore, GCD of numbers 312, 650, 936, 246 is 2
Given Input Data is 312, 650, 936, 246
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13
Prime Factorization of 650 is 2 x 5 x 5 x 13
Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13
Prime Factorization of 246 is 2 x 3 x 41
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(312, 650) = 7800
GCD(312, 650) = ( 312 x 650 ) / 7800
GCD(312, 650) = 202800 / 7800
GCD(312, 650) = 26
Step2:
Here we consider the GCD from the above i.e. 26 as first number and the next as 936
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(26, 936) = 936
GCD(26, 936) = ( 26 x 936 ) / 936
GCD(26, 936) = 24336 / 936
GCD(26, 936) = 26
Step3:
Here we consider the GCD from the above i.e. 26 as first number and the next as 246
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(26, 246) = 3198
GCD(26, 246) = ( 26 x 246 ) / 3198
GCD(26, 246) = 6396 / 3198
GCD(26, 246) = 2
GCD of 312, 650, 936, 246 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 312, 650, 936, 246?
GCD of 312, 650, 936, 246 is 2
2. Where do I get the detailed procedure to find GCD of 312, 650, 936, 246?
You can find a detailed procedure to find GCD of 312, 650, 936, 246 on our page.
3. How to find GCD of 312, 650, 936, 246 on a calculator?
You can find the GCD of 312, 650, 936, 246 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.