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 880, 886, 324, 726 i.e. 2 largest integer that divides all the numbers equally.
GCD of 880, 886, 324, 726 is 2
GCD(880, 886, 324, 726) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 880, 886, 324, 726 is 2
GCD(880, 886, 324, 726) = 2
Given Input numbers are 880, 886, 324, 726
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 880
List of positive integer divisors of 880 that divides 880 without a remainder.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Divisors of 886
List of positive integer divisors of 886 that divides 886 without a remainder.
1, 2, 443, 886
Divisors of 324
List of positive integer divisors of 324 that divides 324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 726
List of positive integer divisors of 726 that divides 726 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Greatest Common Divisior
We found the divisors of 880, 886, 324, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 880, 886, 324, 726 is 2.
Therefore, GCD of numbers 880, 886, 324, 726 is 2
Given Input Data is 880, 886, 324, 726
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11
Prime Factorization of 886 is 2 x 443
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 726 is 2 x 3 x 11 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(880, 886) = 389840
GCD(880, 886) = ( 880 x 886 ) / 389840
GCD(880, 886) = 779680 / 389840
GCD(880, 886) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 324
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 324) = 324
GCD(2, 324) = ( 2 x 324 ) / 324
GCD(2, 324) = 648 / 324
GCD(2, 324) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 726
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 726) = 726
GCD(2, 726) = ( 2 x 726 ) / 726
GCD(2, 726) = 1452 / 726
GCD(2, 726) = 2
GCD of 880, 886, 324, 726 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 880, 886, 324, 726?
GCD of 880, 886, 324, 726 is 2
2. Where do I get the detailed procedure to find GCD of 880, 886, 324, 726?
You can find a detailed procedure to find GCD of 880, 886, 324, 726 on our page.
3. How to find GCD of 880, 886, 324, 726 on a calculator?
You can find the GCD of 880, 886, 324, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.