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 726, 306, 34, 290 i.e. 2 largest integer that divides all the numbers equally.
GCD of 726, 306, 34, 290 is 2
GCD(726, 306, 34, 290) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 726, 306, 34, 290 is 2
GCD(726, 306, 34, 290) = 2
Given Input numbers are 726, 306, 34, 290
To find the GCD of numbers using factoring list out all the divisors of each number
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 306
List of positive integer divisors of 306 that divides 306 without a remainder.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Divisors of 34
List of positive integer divisors of 34 that divides 34 without a remainder.
1, 2, 17, 34
Divisors of 290
List of positive integer divisors of 290 that divides 290 without a remainder.
1, 2, 5, 10, 29, 58, 145, 290
Greatest Common Divisior
We found the divisors of 726, 306, 34, 290 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 306, 34, 290 is 2.
Therefore, GCD of numbers 726, 306, 34, 290 is 2
Given Input Data is 726, 306, 34, 290
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 726 is 2 x 3 x 11 x 11
Prime Factorization of 306 is 2 x 3 x 3 x 17
Prime Factorization of 34 is 2 x 17
Prime Factorization of 290 is 2 x 5 x 29
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(726, 306) = 37026
GCD(726, 306) = ( 726 x 306 ) / 37026
GCD(726, 306) = 222156 / 37026
GCD(726, 306) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 34
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 34) = 102
GCD(6, 34) = ( 6 x 34 ) / 102
GCD(6, 34) = 204 / 102
GCD(6, 34) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 290
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 290) = 290
GCD(2, 290) = ( 2 x 290 ) / 290
GCD(2, 290) = 580 / 290
GCD(2, 290) = 2
GCD of 726, 306, 34, 290 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 726, 306, 34, 290?
GCD of 726, 306, 34, 290 is 2
2. Where do I get the detailed procedure to find GCD of 726, 306, 34, 290?
You can find a detailed procedure to find GCD of 726, 306, 34, 290 on our page.
3. How to find GCD of 726, 306, 34, 290 on a calculator?
You can find the GCD of 726, 306, 34, 290 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.