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 264, 118, 936, 852 i.e. 2 largest integer that divides all the numbers equally.
GCD of 264, 118, 936, 852 is 2
GCD(264, 118, 936, 852) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 264, 118, 936, 852 is 2
GCD(264, 118, 936, 852) = 2
Given Input numbers are 264, 118, 936, 852
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 264
List of positive integer divisors of 264 that divides 264 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 118
List of positive integer divisors of 118 that divides 118 without a remainder.
1, 2, 59, 118
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 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Greatest Common Divisior
We found the divisors of 264, 118, 936, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 118, 936, 852 is 2.
Therefore, GCD of numbers 264, 118, 936, 852 is 2
Given Input Data is 264, 118, 936, 852
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11
Prime Factorization of 118 is 2 x 59
Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13
Prime Factorization of 852 is 2 x 2 x 3 x 71
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(264, 118) = 15576
GCD(264, 118) = ( 264 x 118 ) / 15576
GCD(264, 118) = 31152 / 15576
GCD(264, 118) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 936
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 936) = 936
GCD(2, 936) = ( 2 x 936 ) / 936
GCD(2, 936) = 1872 / 936
GCD(2, 936) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 852
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 852) = 852
GCD(2, 852) = ( 2 x 852 ) / 852
GCD(2, 852) = 1704 / 852
GCD(2, 852) = 2
GCD of 264, 118, 936, 852 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 264, 118, 936, 852?
GCD of 264, 118, 936, 852 is 2
2. Where do I get the detailed procedure to find GCD of 264, 118, 936, 852?
You can find a detailed procedure to find GCD of 264, 118, 936, 852 on our page.
3. How to find GCD of 264, 118, 936, 852 on a calculator?
You can find the GCD of 264, 118, 936, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.