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 246, 726, 22, 628 i.e. 2 largest integer that divides all the numbers equally.
GCD of 246, 726, 22, 628 is 2
GCD(246, 726, 22, 628) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 246, 726, 22, 628 is 2
GCD(246, 726, 22, 628) = 2
Given Input numbers are 246, 726, 22, 628
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 246
List of positive integer divisors of 246 that divides 246 without a remainder.
1, 2, 3, 6, 41, 82, 123, 246
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
Divisors of 22
List of positive integer divisors of 22 that divides 22 without a remainder.
1, 2, 11, 22
Divisors of 628
List of positive integer divisors of 628 that divides 628 without a remainder.
1, 2, 4, 157, 314, 628
Greatest Common Divisior
We found the divisors of 246, 726, 22, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 246, 726, 22, 628 is 2.
Therefore, GCD of numbers 246, 726, 22, 628 is 2
Given Input Data is 246, 726, 22, 628
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 246 is 2 x 3 x 41
Prime Factorization of 726 is 2 x 3 x 11 x 11
Prime Factorization of 22 is 2 x 11
Prime Factorization of 628 is 2 x 2 x 157
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(246, 726) = 29766
GCD(246, 726) = ( 246 x 726 ) / 29766
GCD(246, 726) = 178596 / 29766
GCD(246, 726) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 22
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 22) = 66
GCD(6, 22) = ( 6 x 22 ) / 66
GCD(6, 22) = 132 / 66
GCD(6, 22) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 628
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 628) = 628
GCD(2, 628) = ( 2 x 628 ) / 628
GCD(2, 628) = 1256 / 628
GCD(2, 628) = 2
GCD of 246, 726, 22, 628 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 246, 726, 22, 628?
GCD of 246, 726, 22, 628 is 2
2. Where do I get the detailed procedure to find GCD of 246, 726, 22, 628?
You can find a detailed procedure to find GCD of 246, 726, 22, 628 on our page.
3. How to find GCD of 246, 726, 22, 628 on a calculator?
You can find the GCD of 246, 726, 22, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.