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 340, 590, 550, 323 i.e. 1 largest integer that divides all the numbers equally.
GCD of 340, 590, 550, 323 is 1
GCD(340, 590, 550, 323) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 340, 590, 550, 323 is 1
GCD(340, 590, 550, 323) = 1
Given Input numbers are 340, 590, 550, 323
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 340
List of positive integer divisors of 340 that divides 340 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 590
List of positive integer divisors of 590 that divides 590 without a remainder.
1, 2, 5, 10, 59, 118, 295, 590
Divisors of 550
List of positive integer divisors of 550 that divides 550 without a remainder.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Divisors of 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Greatest Common Divisior
We found the divisors of 340, 590, 550, 323 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 590, 550, 323 is 1.
Therefore, GCD of numbers 340, 590, 550, 323 is 1
Given Input Data is 340, 590, 550, 323
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 340 is 2 x 2 x 5 x 17
Prime Factorization of 590 is 2 x 5 x 59
Prime Factorization of 550 is 2 x 5 x 5 x 11
Prime Factorization of 323 is 17 x 19
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(340, 590) = 20060
GCD(340, 590) = ( 340 x 590 ) / 20060
GCD(340, 590) = 200600 / 20060
GCD(340, 590) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 550
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 550) = 550
GCD(10, 550) = ( 10 x 550 ) / 550
GCD(10, 550) = 5500 / 550
GCD(10, 550) = 10
Step3:
Here we consider the GCD from the above i.e. 10 as first number and the next as 323
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 323) = 3230
GCD(10, 323) = ( 10 x 323 ) / 3230
GCD(10, 323) = 3230 / 3230
GCD(10, 323) = 1
GCD of 340, 590, 550, 323 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 340, 590, 550, 323?
GCD of 340, 590, 550, 323 is 1
2. Where do I get the detailed procedure to find GCD of 340, 590, 550, 323?
You can find a detailed procedure to find GCD of 340, 590, 550, 323 on our page.
3. How to find GCD of 340, 590, 550, 323 on a calculator?
You can find the GCD of 340, 590, 550, 323 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.