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 427, 718, 600, 579 i.e. 1 largest integer that divides all the numbers equally.
GCD of 427, 718, 600, 579 is 1
GCD(427, 718, 600, 579) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 427, 718, 600, 579 is 1
GCD(427, 718, 600, 579) = 1
Given Input numbers are 427, 718, 600, 579
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
Divisors of 718
List of positive integer divisors of 718 that divides 718 without a remainder.
1, 2, 359, 718
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
Divisors of 579
List of positive integer divisors of 579 that divides 579 without a remainder.
1, 3, 193, 579
Greatest Common Divisior
We found the divisors of 427, 718, 600, 579 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 427, 718, 600, 579 is 1.
Therefore, GCD of numbers 427, 718, 600, 579 is 1
Given Input Data is 427, 718, 600, 579
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 427 is 7 x 61
Prime Factorization of 718 is 2 x 359
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 579 is 3 x 193
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(427, 718) = 306586
GCD(427, 718) = ( 427 x 718 ) / 306586
GCD(427, 718) = 306586 / 306586
GCD(427, 718) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 579
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 579) = 579
GCD(1, 579) = ( 1 x 579 ) / 579
GCD(1, 579) = 579 / 579
GCD(1, 579) = 1
GCD of 427, 718, 600, 579 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 427, 718, 600, 579?
GCD of 427, 718, 600, 579 is 1
2. Where do I get the detailed procedure to find GCD of 427, 718, 600, 579?
You can find a detailed procedure to find GCD of 427, 718, 600, 579 on our page.
3. How to find GCD of 427, 718, 600, 579 on a calculator?
You can find the GCD of 427, 718, 600, 579 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.