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 202, 359, 15, 395 i.e. 1 largest integer that divides all the numbers equally.
GCD of 202, 359, 15, 395 is 1
GCD(202, 359, 15, 395) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 202, 359, 15, 395 is 1
GCD(202, 359, 15, 395) = 1
Given Input numbers are 202, 359, 15, 395
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 202
List of positive integer divisors of 202 that divides 202 without a remainder.
1, 2, 101, 202
Divisors of 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 395
List of positive integer divisors of 395 that divides 395 without a remainder.
1, 5, 79, 395
Greatest Common Divisior
We found the divisors of 202, 359, 15, 395 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 202, 359, 15, 395 is 1.
Therefore, GCD of numbers 202, 359, 15, 395 is 1
Given Input Data is 202, 359, 15, 395
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 202 is 2 x 101
Prime Factorization of 359 is 359
Prime Factorization of 15 is 3 x 5
Prime Factorization of 395 is 5 x 79
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(202, 359) = 72518
GCD(202, 359) = ( 202 x 359 ) / 72518
GCD(202, 359) = 72518 / 72518
GCD(202, 359) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 15) = 15
GCD(1, 15) = ( 1 x 15 ) / 15
GCD(1, 15) = 15 / 15
GCD(1, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 395
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 395) = 395
GCD(1, 395) = ( 1 x 395 ) / 395
GCD(1, 395) = 395 / 395
GCD(1, 395) = 1
GCD of 202, 359, 15, 395 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 202, 359, 15, 395?
GCD of 202, 359, 15, 395 is 1
2. Where do I get the detailed procedure to find GCD of 202, 359, 15, 395?
You can find a detailed procedure to find GCD of 202, 359, 15, 395 on our page.
3. How to find GCD of 202, 359, 15, 395 on a calculator?
You can find the GCD of 202, 359, 15, 395 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.