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 876, 567, 226, 112 i.e. 1 largest integer that divides all the numbers equally.
GCD of 876, 567, 226, 112 is 1
GCD(876, 567, 226, 112) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 876, 567, 226, 112 is 1
GCD(876, 567, 226, 112) = 1
Given Input numbers are 876, 567, 226, 112
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 876
List of positive integer divisors of 876 that divides 876 without a remainder.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
Divisors of 567
List of positive integer divisors of 567 that divides 567 without a remainder.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 226
List of positive integer divisors of 226 that divides 226 without a remainder.
1, 2, 113, 226
Divisors of 112
List of positive integer divisors of 112 that divides 112 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Greatest Common Divisior
We found the divisors of 876, 567, 226, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 876, 567, 226, 112 is 1.
Therefore, GCD of numbers 876, 567, 226, 112 is 1
Given Input Data is 876, 567, 226, 112
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 876 is 2 x 2 x 3 x 73
Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7
Prime Factorization of 226 is 2 x 113
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
The above numbers do not have any common prime factor. So GCD is 1
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(876, 567) = 165564
GCD(876, 567) = ( 876 x 567 ) / 165564
GCD(876, 567) = 496692 / 165564
GCD(876, 567) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 226
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 226) = 678
GCD(3, 226) = ( 3 x 226 ) / 678
GCD(3, 226) = 678 / 678
GCD(3, 226) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 112
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 112) = 112
GCD(1, 112) = ( 1 x 112 ) / 112
GCD(1, 112) = 112 / 112
GCD(1, 112) = 1
GCD of 876, 567, 226, 112 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 876, 567, 226, 112?
GCD of 876, 567, 226, 112 is 1
2. Where do I get the detailed procedure to find GCD of 876, 567, 226, 112?
You can find a detailed procedure to find GCD of 876, 567, 226, 112 on our page.
3. How to find GCD of 876, 567, 226, 112 on a calculator?
You can find the GCD of 876, 567, 226, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.