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 285, 725, 235, 202 i.e. 1 largest integer that divides all the numbers equally.
GCD of 285, 725, 235, 202 is 1
GCD(285, 725, 235, 202) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 285, 725, 235, 202 is 1
GCD(285, 725, 235, 202) = 1
Given Input numbers are 285, 725, 235, 202
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 285
List of positive integer divisors of 285 that divides 285 without a remainder.
1, 3, 5, 15, 19, 57, 95, 285
Divisors of 725
List of positive integer divisors of 725 that divides 725 without a remainder.
1, 5, 25, 29, 145, 725
Divisors of 235
List of positive integer divisors of 235 that divides 235 without a remainder.
1, 5, 47, 235
Divisors of 202
List of positive integer divisors of 202 that divides 202 without a remainder.
1, 2, 101, 202
Greatest Common Divisior
We found the divisors of 285, 725, 235, 202 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 285, 725, 235, 202 is 1.
Therefore, GCD of numbers 285, 725, 235, 202 is 1
Given Input Data is 285, 725, 235, 202
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 285 is 3 x 5 x 19
Prime Factorization of 725 is 5 x 5 x 29
Prime Factorization of 235 is 5 x 47
Prime Factorization of 202 is 2 x 101
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(285, 725) = 41325
GCD(285, 725) = ( 285 x 725 ) / 41325
GCD(285, 725) = 206625 / 41325
GCD(285, 725) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 235
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 235) = 235
GCD(5, 235) = ( 5 x 235 ) / 235
GCD(5, 235) = 1175 / 235
GCD(5, 235) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 202
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 202) = 1010
GCD(5, 202) = ( 5 x 202 ) / 1010
GCD(5, 202) = 1010 / 1010
GCD(5, 202) = 1
GCD of 285, 725, 235, 202 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 285, 725, 235, 202?
GCD of 285, 725, 235, 202 is 1
2. Where do I get the detailed procedure to find GCD of 285, 725, 235, 202?
You can find a detailed procedure to find GCD of 285, 725, 235, 202 on our page.
3. How to find GCD of 285, 725, 235, 202 on a calculator?
You can find the GCD of 285, 725, 235, 202 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.