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 936, 950, 66, 712 i.e. 2 largest integer that divides all the numbers equally.
GCD of 936, 950, 66, 712 is 2
GCD(936, 950, 66, 712) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 936, 950, 66, 712 is 2
GCD(936, 950, 66, 712) = 2
Given Input numbers are 936, 950, 66, 712
To find the GCD of numbers using factoring list out all the divisors of each number
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 950
List of positive integer divisors of 950 that divides 950 without a remainder.
1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 712
List of positive integer divisors of 712 that divides 712 without a remainder.
1, 2, 4, 8, 89, 178, 356, 712
Greatest Common Divisior
We found the divisors of 936, 950, 66, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 936, 950, 66, 712 is 2.
Therefore, GCD of numbers 936, 950, 66, 712 is 2
Given Input Data is 936, 950, 66, 712
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13
Prime Factorization of 950 is 2 x 5 x 5 x 19
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 712 is 2 x 2 x 2 x 89
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(936, 950) = 444600
GCD(936, 950) = ( 936 x 950 ) / 444600
GCD(936, 950) = 889200 / 444600
GCD(936, 950) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 66) = 66
GCD(2, 66) = ( 2 x 66 ) / 66
GCD(2, 66) = 132 / 66
GCD(2, 66) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 712
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 712) = 712
GCD(2, 712) = ( 2 x 712 ) / 712
GCD(2, 712) = 1424 / 712
GCD(2, 712) = 2
GCD of 936, 950, 66, 712 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 936, 950, 66, 712?
GCD of 936, 950, 66, 712 is 2
2. Where do I get the detailed procedure to find GCD of 936, 950, 66, 712?
You can find a detailed procedure to find GCD of 936, 950, 66, 712 on our page.
3. How to find GCD of 936, 950, 66, 712 on a calculator?
You can find the GCD of 936, 950, 66, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.