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 602, 900, 15 i.e. 1 largest integer that divides all the numbers equally.
GCD of 602, 900, 15 is 1
GCD(602, 900, 15) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 602, 900, 15 is 1
GCD(602, 900, 15) = 1
Given Input numbers are 602, 900, 15
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 602
List of positive integer divisors of 602 that divides 602 without a remainder.
1, 2, 7, 14, 43, 86, 301, 602
Divisors of 900
List of positive integer divisors of 900 that divides 900 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Greatest Common Divisior
We found the divisors of 602, 900, 15 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 602, 900, 15 is 1.
Therefore, GCD of numbers 602, 900, 15 is 1
Given Input Data is 602, 900, 15
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 602 is 2 x 7 x 43
Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5
Prime Factorization of 15 is 3 x 5
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(602, 900) = 270900
GCD(602, 900) = ( 602 x 900 ) / 270900
GCD(602, 900) = 541800 / 270900
GCD(602, 900) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 15) = 30
GCD(2, 15) = ( 2 x 15 ) / 30
GCD(2, 15) = 30 / 30
GCD(2, 15) = 1
GCD of 602, 900, 15 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 602, 900, 15?
GCD of 602, 900, 15 is 1
2. Where do I get the detailed procedure to find GCD of 602, 900, 15?
You can find a detailed procedure to find GCD of 602, 900, 15 on our page.
3. How to find GCD of 602, 900, 15 on a calculator?
You can find the GCD of 602, 900, 15 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.