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, 814, 52, 669 i.e. 1 largest integer that divides all the numbers equally.
GCD of 300, 814, 52, 669 is 1
GCD(300, 814, 52, 669) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 300, 814, 52, 669 is 1
GCD(300, 814, 52, 669) = 1
Given Input numbers are 300, 814, 52, 669
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 814
List of positive integer divisors of 814 that divides 814 without a remainder.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 669
List of positive integer divisors of 669 that divides 669 without a remainder.
1, 3, 223, 669
Greatest Common Divisior
We found the divisors of 300, 814, 52, 669 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 814, 52, 669 is 1.
Therefore, GCD of numbers 300, 814, 52, 669 is 1
Given Input Data is 300, 814, 52, 669
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 814 is 2 x 11 x 37
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 669 is 3 x 223
The above numbers do not have any common prime factor. So GCD is 1
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, 814) = 122100
GCD(300, 814) = ( 300 x 814 ) / 122100
GCD(300, 814) = 244200 / 122100
GCD(300, 814) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 52) = 52
GCD(2, 52) = ( 2 x 52 ) / 52
GCD(2, 52) = 104 / 52
GCD(2, 52) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 669
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 669) = 1338
GCD(2, 669) = ( 2 x 669 ) / 1338
GCD(2, 669) = 1338 / 1338
GCD(2, 669) = 1
GCD of 300, 814, 52, 669 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 300, 814, 52, 669?
GCD of 300, 814, 52, 669 is 1
2. Where do I get the detailed procedure to find GCD of 300, 814, 52, 669?
You can find a detailed procedure to find GCD of 300, 814, 52, 669 on our page.
3. How to find GCD of 300, 814, 52, 669 on a calculator?
You can find the GCD of 300, 814, 52, 669 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.