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 26, 300, 386, 730 i.e. 2 largest integer that divides all the numbers equally.
GCD of 26, 300, 386, 730 is 2
GCD(26, 300, 386, 730) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 26, 300, 386, 730 is 2
GCD(26, 300, 386, 730) = 2
Given Input numbers are 26, 300, 386, 730
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 26
List of positive integer divisors of 26 that divides 26 without a remainder.
1, 2, 13, 26
Divisors of 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 386
List of positive integer divisors of 386 that divides 386 without a remainder.
1, 2, 193, 386
Divisors of 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
Greatest Common Divisior
We found the divisors of 26, 300, 386, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 300, 386, 730 is 2.
Therefore, GCD of numbers 26, 300, 386, 730 is 2
Given Input Data is 26, 300, 386, 730
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 26 is 2 x 13
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
Prime Factorization of 386 is 2 x 193
Prime Factorization of 730 is 2 x 5 x 73
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(26, 300) = 3900
GCD(26, 300) = ( 26 x 300 ) / 3900
GCD(26, 300) = 7800 / 3900
GCD(26, 300) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 386
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 386) = 386
GCD(2, 386) = ( 2 x 386 ) / 386
GCD(2, 386) = 772 / 386
GCD(2, 386) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 730
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 730) = 730
GCD(2, 730) = ( 2 x 730 ) / 730
GCD(2, 730) = 1460 / 730
GCD(2, 730) = 2
GCD of 26, 300, 386, 730 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 26, 300, 386, 730?
GCD of 26, 300, 386, 730 is 2
2. Where do I get the detailed procedure to find GCD of 26, 300, 386, 730?
You can find a detailed procedure to find GCD of 26, 300, 386, 730 on our page.
3. How to find GCD of 26, 300, 386, 730 on a calculator?
You can find the GCD of 26, 300, 386, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.