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 300, 246, 824, 150 i.e. 2 largest integer that divides all the numbers equally.
GCD of 300, 246, 824, 150 is 2
GCD(300, 246, 824, 150) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 300, 246, 824, 150 is 2
GCD(300, 246, 824, 150) = 2
Given Input numbers are 300, 246, 824, 150
To find the GCD of numbers using factoring list out all the divisors of each number
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 246
List of positive integer divisors of 246 that divides 246 without a remainder.
1, 2, 3, 6, 41, 82, 123, 246
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 150
List of positive integer divisors of 150 that divides 150 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Greatest Common Divisior
We found the divisors of 300, 246, 824, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 246, 824, 150 is 2.
Therefore, GCD of numbers 300, 246, 824, 150 is 2
Given Input Data is 300, 246, 824, 150
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
Prime Factorization of 246 is 2 x 3 x 41
Prime Factorization of 824 is 2 x 2 x 2 x 103
Prime Factorization of 150 is 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(300, 246) = 12300
GCD(300, 246) = ( 300 x 246 ) / 12300
GCD(300, 246) = 73800 / 12300
GCD(300, 246) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 824
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 824) = 2472
GCD(6, 824) = ( 6 x 824 ) / 2472
GCD(6, 824) = 4944 / 2472
GCD(6, 824) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 150
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 150) = 150
GCD(2, 150) = ( 2 x 150 ) / 150
GCD(2, 150) = 300 / 150
GCD(2, 150) = 2
GCD of 300, 246, 824, 150 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 300, 246, 824, 150?
GCD of 300, 246, 824, 150 is 2
2. Where do I get the detailed procedure to find GCD of 300, 246, 824, 150?
You can find a detailed procedure to find GCD of 300, 246, 824, 150 on our page.
3. How to find GCD of 300, 246, 824, 150 on a calculator?
You can find the GCD of 300, 246, 824, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.