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 924, 951, 36, 396 i.e. 3 largest integer that divides all the numbers equally.
GCD of 924, 951, 36, 396 is 3
GCD(924, 951, 36, 396) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 924, 951, 36, 396 is 3
GCD(924, 951, 36, 396) = 3
Given Input numbers are 924, 951, 36, 396
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 924
List of positive integer divisors of 924 that divides 924 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 951
List of positive integer divisors of 951 that divides 951 without a remainder.
1, 3, 317, 951
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Greatest Common Divisior
We found the divisors of 924, 951, 36, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 951, 36, 396 is 3.
Therefore, GCD of numbers 924, 951, 36, 396 is 3
Given Input Data is 924, 951, 36, 396
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
Prime Factorization of 951 is 3 x 317
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(924, 951) = 292908
GCD(924, 951) = ( 924 x 951 ) / 292908
GCD(924, 951) = 878724 / 292908
GCD(924, 951) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 36) = 36
GCD(3, 36) = ( 3 x 36 ) / 36
GCD(3, 36) = 108 / 36
GCD(3, 36) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 396
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 396) = 396
GCD(3, 396) = ( 3 x 396 ) / 396
GCD(3, 396) = 1188 / 396
GCD(3, 396) = 3
GCD of 924, 951, 36, 396 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 924, 951, 36, 396?
GCD of 924, 951, 36, 396 is 3
2. Where do I get the detailed procedure to find GCD of 924, 951, 36, 396?
You can find a detailed procedure to find GCD of 924, 951, 36, 396 on our page.
3. How to find GCD of 924, 951, 36, 396 on a calculator?
You can find the GCD of 924, 951, 36, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.