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 326, 711, 283, 600 i.e. 1 largest integer that divides all the numbers equally.
GCD of 326, 711, 283, 600 is 1
GCD(326, 711, 283, 600) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 326, 711, 283, 600 is 1
GCD(326, 711, 283, 600) = 1
Given Input numbers are 326, 711, 283, 600
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 326
List of positive integer divisors of 326 that divides 326 without a remainder.
1, 2, 163, 326
Divisors of 711
List of positive integer divisors of 711 that divides 711 without a remainder.
1, 3, 9, 79, 237, 711
Divisors of 283
List of positive integer divisors of 283 that divides 283 without a remainder.
1, 283
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Greatest Common Divisior
We found the divisors of 326, 711, 283, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 326, 711, 283, 600 is 1.
Therefore, GCD of numbers 326, 711, 283, 600 is 1
Given Input Data is 326, 711, 283, 600
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 326 is 2 x 163
Prime Factorization of 711 is 3 x 3 x 79
Prime Factorization of 283 is 283
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
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(326, 711) = 231786
GCD(326, 711) = ( 326 x 711 ) / 231786
GCD(326, 711) = 231786 / 231786
GCD(326, 711) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 283
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 283) = 283
GCD(1, 283) = ( 1 x 283 ) / 283
GCD(1, 283) = 283 / 283
GCD(1, 283) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 600
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 600) = 600
GCD(1, 600) = ( 1 x 600 ) / 600
GCD(1, 600) = 600 / 600
GCD(1, 600) = 1
GCD of 326, 711, 283, 600 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 326, 711, 283, 600?
GCD of 326, 711, 283, 600 is 1
2. Where do I get the detailed procedure to find GCD of 326, 711, 283, 600?
You can find a detailed procedure to find GCD of 326, 711, 283, 600 on our page.
3. How to find GCD of 326, 711, 283, 600 on a calculator?
You can find the GCD of 326, 711, 283, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.