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 901, 300, 52 i.e. 1 largest integer that divides all the numbers equally.
GCD of 901, 300, 52 is 1
GCD(901, 300, 52) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 901, 300, 52 is 1
GCD(901, 300, 52) = 1
Given Input numbers are 901, 300, 52
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
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 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Greatest Common Divisior
We found the divisors of 901, 300, 52 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 901, 300, 52 is 1.
Therefore, GCD of numbers 901, 300, 52 is 1
Given Input Data is 901, 300, 52
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 901 is 17 x 53
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
Prime Factorization of 52 is 2 x 2 x 13
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(901, 300) = 270300
GCD(901, 300) = ( 901 x 300 ) / 270300
GCD(901, 300) = 270300 / 270300
GCD(901, 300) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 52) = 52
GCD(1, 52) = ( 1 x 52 ) / 52
GCD(1, 52) = 52 / 52
GCD(1, 52) = 1
GCD of 901, 300, 52 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 901, 300, 52?
GCD of 901, 300, 52 is 1
2. Where do I get the detailed procedure to find GCD of 901, 300, 52?
You can find a detailed procedure to find GCD of 901, 300, 52 on our page.
3. How to find GCD of 901, 300, 52 on a calculator?
You can find the GCD of 901, 300, 52 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.