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, 886, 224, 872 i.e. 2 largest integer that divides all the numbers equally.
GCD of 84, 886, 224, 872 is 2
GCD(84, 886, 224, 872) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 84, 886, 224, 872 is 2
GCD(84, 886, 224, 872) = 2
Given Input numbers are 84, 886, 224, 872
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 886
List of positive integer divisors of 886 that divides 886 without a remainder.
1, 2, 443, 886
Divisors of 224
List of positive integer divisors of 224 that divides 224 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
Divisors of 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Greatest Common Divisior
We found the divisors of 84, 886, 224, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 886, 224, 872 is 2.
Therefore, GCD of numbers 84, 886, 224, 872 is 2
Given Input Data is 84, 886, 224, 872
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 886 is 2 x 443
Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 872 is 2 x 2 x 2 x 109
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, 886) = 37212
GCD(84, 886) = ( 84 x 886 ) / 37212
GCD(84, 886) = 74424 / 37212
GCD(84, 886) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 224
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 224) = 224
GCD(2, 224) = ( 2 x 224 ) / 224
GCD(2, 224) = 448 / 224
GCD(2, 224) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 872
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 872) = 872
GCD(2, 872) = ( 2 x 872 ) / 872
GCD(2, 872) = 1744 / 872
GCD(2, 872) = 2
GCD of 84, 886, 224, 872 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 84, 886, 224, 872?
GCD of 84, 886, 224, 872 is 2
2. Where do I get the detailed procedure to find GCD of 84, 886, 224, 872?
You can find a detailed procedure to find GCD of 84, 886, 224, 872 on our page.
3. How to find GCD of 84, 886, 224, 872 on a calculator?
You can find the GCD of 84, 886, 224, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.