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 584, 361, 840, 195 i.e. 1 largest integer that divides all the numbers equally.
GCD of 584, 361, 840, 195 is 1
GCD(584, 361, 840, 195) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 584, 361, 840, 195 is 1
GCD(584, 361, 840, 195) = 1
Given Input numbers are 584, 361, 840, 195
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 584
List of positive integer divisors of 584 that divides 584 without a remainder.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
Divisors of 840
List of positive integer divisors of 840 that divides 840 without a remainder.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 195
List of positive integer divisors of 195 that divides 195 without a remainder.
1, 3, 5, 13, 15, 39, 65, 195
Greatest Common Divisior
We found the divisors of 584, 361, 840, 195 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 584, 361, 840, 195 is 1.
Therefore, GCD of numbers 584, 361, 840, 195 is 1
Given Input Data is 584, 361, 840, 195
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 584 is 2 x 2 x 2 x 73
Prime Factorization of 361 is 19 x 19
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7
Prime Factorization of 195 is 3 x 5 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(584, 361) = 210824
GCD(584, 361) = ( 584 x 361 ) / 210824
GCD(584, 361) = 210824 / 210824
GCD(584, 361) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 840
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 840) = 840
GCD(1, 840) = ( 1 x 840 ) / 840
GCD(1, 840) = 840 / 840
GCD(1, 840) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 195
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 195) = 195
GCD(1, 195) = ( 1 x 195 ) / 195
GCD(1, 195) = 195 / 195
GCD(1, 195) = 1
GCD of 584, 361, 840, 195 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 584, 361, 840, 195?
GCD of 584, 361, 840, 195 is 1
2. Where do I get the detailed procedure to find GCD of 584, 361, 840, 195?
You can find a detailed procedure to find GCD of 584, 361, 840, 195 on our page.
3. How to find GCD of 584, 361, 840, 195 on a calculator?
You can find the GCD of 584, 361, 840, 195 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.