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 436, 774, 906, 300 i.e. 2 largest integer that divides all the numbers equally.
GCD of 436, 774, 906, 300 is 2
GCD(436, 774, 906, 300) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 436, 774, 906, 300 is 2
GCD(436, 774, 906, 300) = 2
Given Input numbers are 436, 774, 906, 300
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 436
List of positive integer divisors of 436 that divides 436 without a remainder.
1, 2, 4, 109, 218, 436
Divisors of 774
List of positive integer divisors of 774 that divides 774 without a remainder.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 906
List of positive integer divisors of 906 that divides 906 without a remainder.
1, 2, 3, 6, 151, 302, 453, 906
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
Greatest Common Divisior
We found the divisors of 436, 774, 906, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 436, 774, 906, 300 is 2.
Therefore, GCD of numbers 436, 774, 906, 300 is 2
Given Input Data is 436, 774, 906, 300
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 436 is 2 x 2 x 109
Prime Factorization of 774 is 2 x 3 x 3 x 43
Prime Factorization of 906 is 2 x 3 x 151
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
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(436, 774) = 168732
GCD(436, 774) = ( 436 x 774 ) / 168732
GCD(436, 774) = 337464 / 168732
GCD(436, 774) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 906
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 906) = 906
GCD(2, 906) = ( 2 x 906 ) / 906
GCD(2, 906) = 1812 / 906
GCD(2, 906) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 300
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 300) = 300
GCD(2, 300) = ( 2 x 300 ) / 300
GCD(2, 300) = 600 / 300
GCD(2, 300) = 2
GCD of 436, 774, 906, 300 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 436, 774, 906, 300?
GCD of 436, 774, 906, 300 is 2
2. Where do I get the detailed procedure to find GCD of 436, 774, 906, 300?
You can find a detailed procedure to find GCD of 436, 774, 906, 300 on our page.
3. How to find GCD of 436, 774, 906, 300 on a calculator?
You can find the GCD of 436, 774, 906, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.