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 84, 528, 838, 888 i.e. 2 largest integer that divides all the numbers equally.
GCD of 84, 528, 838, 888 is 2
GCD(84, 528, 838, 888) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 84, 528, 838, 888 is 2
GCD(84, 528, 838, 888) = 2
Given Input numbers are 84, 528, 838, 888
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 528
List of positive integer divisors of 528 that divides 528 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
Divisors of 838
List of positive integer divisors of 838 that divides 838 without a remainder.
1, 2, 419, 838
Divisors of 888
List of positive integer divisors of 888 that divides 888 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
Greatest Common Divisior
We found the divisors of 84, 528, 838, 888 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 528, 838, 888 is 2.
Therefore, GCD of numbers 84, 528, 838, 888 is 2
Given Input Data is 84, 528, 838, 888
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11
Prime Factorization of 838 is 2 x 419
Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37
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(84, 528) = 3696
GCD(84, 528) = ( 84 x 528 ) / 3696
GCD(84, 528) = 44352 / 3696
GCD(84, 528) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 838
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 838) = 5028
GCD(12, 838) = ( 12 x 838 ) / 5028
GCD(12, 838) = 10056 / 5028
GCD(12, 838) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 888
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 888) = 888
GCD(2, 888) = ( 2 x 888 ) / 888
GCD(2, 888) = 1776 / 888
GCD(2, 888) = 2
GCD of 84, 528, 838, 888 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 84, 528, 838, 888?
GCD of 84, 528, 838, 888 is 2
2. Where do I get the detailed procedure to find GCD of 84, 528, 838, 888?
You can find a detailed procedure to find GCD of 84, 528, 838, 888 on our page.
3. How to find GCD of 84, 528, 838, 888 on a calculator?
You can find the GCD of 84, 528, 838, 888 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.