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 282, 852, 14, 264 i.e. 2 largest integer that divides all the numbers equally.
GCD of 282, 852, 14, 264 is 2
GCD(282, 852, 14, 264) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 282, 852, 14, 264 is 2
GCD(282, 852, 14, 264) = 2
Given Input numbers are 282, 852, 14, 264
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 282
List of positive integer divisors of 282 that divides 282 without a remainder.
1, 2, 3, 6, 47, 94, 141, 282
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
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
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
Greatest Common Divisior
We found the divisors of 282, 852, 14, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 282, 852, 14, 264 is 2.
Therefore, GCD of numbers 282, 852, 14, 264 is 2
Given Input Data is 282, 852, 14, 264
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 282 is 2 x 3 x 47
Prime Factorization of 852 is 2 x 2 x 3 x 71
Prime Factorization of 14 is 2 x 7
Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11
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(282, 852) = 40044
GCD(282, 852) = ( 282 x 852 ) / 40044
GCD(282, 852) = 240264 / 40044
GCD(282, 852) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 14
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 14) = 42
GCD(6, 14) = ( 6 x 14 ) / 42
GCD(6, 14) = 84 / 42
GCD(6, 14) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 264
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 264) = 264
GCD(2, 264) = ( 2 x 264 ) / 264
GCD(2, 264) = 528 / 264
GCD(2, 264) = 2
GCD of 282, 852, 14, 264 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 282, 852, 14, 264?
GCD of 282, 852, 14, 264 is 2
2. Where do I get the detailed procedure to find GCD of 282, 852, 14, 264?
You can find a detailed procedure to find GCD of 282, 852, 14, 264 on our page.
3. How to find GCD of 282, 852, 14, 264 on a calculator?
You can find the GCD of 282, 852, 14, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.