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 884, 264, 88, 400 i.e. 4 largest integer that divides all the numbers equally.
GCD of 884, 264, 88, 400 is 4
GCD(884, 264, 88, 400) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 884, 264, 88, 400 is 4
GCD(884, 264, 88, 400) = 4
Given Input numbers are 884, 264, 88, 400
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 884
List of positive integer divisors of 884 that divides 884 without a remainder.
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
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 88
List of positive integer divisors of 88 that divides 88 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88
Divisors of 400
List of positive integer divisors of 400 that divides 400 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Greatest Common Divisior
We found the divisors of 884, 264, 88, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 884, 264, 88, 400 is 4.
Therefore, GCD of numbers 884, 264, 88, 400 is 4
Given Input Data is 884, 264, 88, 400
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 884 is 2 x 2 x 13 x 17
Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11
Prime Factorization of 88 is 2 x 2 x 2 x 11
Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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(884, 264) = 58344
GCD(884, 264) = ( 884 x 264 ) / 58344
GCD(884, 264) = 233376 / 58344
GCD(884, 264) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 88
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 88) = 88
GCD(4, 88) = ( 4 x 88 ) / 88
GCD(4, 88) = 352 / 88
GCD(4, 88) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 400
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 400) = 400
GCD(4, 400) = ( 4 x 400 ) / 400
GCD(4, 400) = 1600 / 400
GCD(4, 400) = 4
GCD of 884, 264, 88, 400 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 884, 264, 88, 400?
GCD of 884, 264, 88, 400 is 4
2. Where do I get the detailed procedure to find GCD of 884, 264, 88, 400?
You can find a detailed procedure to find GCD of 884, 264, 88, 400 on our page.
3. How to find GCD of 884, 264, 88, 400 on a calculator?
You can find the GCD of 884, 264, 88, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.