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 290, 570, 119, 395 i.e. 1 largest integer that divides all the numbers equally.
GCD of 290, 570, 119, 395 is 1
GCD(290, 570, 119, 395) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 290, 570, 119, 395 is 1
GCD(290, 570, 119, 395) = 1
Given Input numbers are 290, 570, 119, 395
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 290
List of positive integer divisors of 290 that divides 290 without a remainder.
1, 2, 5, 10, 29, 58, 145, 290
Divisors of 570
List of positive integer divisors of 570 that divides 570 without a remainder.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
Divisors of 119
List of positive integer divisors of 119 that divides 119 without a remainder.
1, 7, 17, 119
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 290, 570, 119, 395 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 290, 570, 119, 395 is 1.
Therefore, GCD of numbers 290, 570, 119, 395 is 1
Given Input Data is 290, 570, 119, 395
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 290 is 2 x 5 x 29
Prime Factorization of 570 is 2 x 3 x 5 x 19
Prime Factorization of 119 is 7 x 17
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(290, 570) = 16530
GCD(290, 570) = ( 290 x 570 ) / 16530
GCD(290, 570) = 165300 / 16530
GCD(290, 570) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 119
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 119) = 1190
GCD(10, 119) = ( 10 x 119 ) / 1190
GCD(10, 119) = 1190 / 1190
GCD(10, 119) = 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 290, 570, 119, 395 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 290, 570, 119, 395?
GCD of 290, 570, 119, 395 is 1
2. Where do I get the detailed procedure to find GCD of 290, 570, 119, 395?
You can find a detailed procedure to find GCD of 290, 570, 119, 395 on our page.
3. How to find GCD of 290, 570, 119, 395 on a calculator?
You can find the GCD of 290, 570, 119, 395 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.