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 604, 486, 71, 284 i.e. 1 largest integer that divides all the numbers equally.
GCD of 604, 486, 71, 284 is 1
GCD(604, 486, 71, 284) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 604, 486, 71, 284 is 1
GCD(604, 486, 71, 284) = 1
Given Input numbers are 604, 486, 71, 284
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 604
List of positive integer divisors of 604 that divides 604 without a remainder.
1, 2, 4, 151, 302, 604
Divisors of 486
List of positive integer divisors of 486 that divides 486 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 284
List of positive integer divisors of 284 that divides 284 without a remainder.
1, 2, 4, 71, 142, 284
Greatest Common Divisior
We found the divisors of 604, 486, 71, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 604, 486, 71, 284 is 1.
Therefore, GCD of numbers 604, 486, 71, 284 is 1
Given Input Data is 604, 486, 71, 284
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 604 is 2 x 2 x 151
Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 71 is 71
Prime Factorization of 284 is 2 x 2 x 71
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(604, 486) = 146772
GCD(604, 486) = ( 604 x 486 ) / 146772
GCD(604, 486) = 293544 / 146772
GCD(604, 486) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 71
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 71) = 142
GCD(2, 71) = ( 2 x 71 ) / 142
GCD(2, 71) = 142 / 142
GCD(2, 71) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 284
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 284) = 284
GCD(1, 284) = ( 1 x 284 ) / 284
GCD(1, 284) = 284 / 284
GCD(1, 284) = 1
GCD of 604, 486, 71, 284 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 604, 486, 71, 284?
GCD of 604, 486, 71, 284 is 1
2. Where do I get the detailed procedure to find GCD of 604, 486, 71, 284?
You can find a detailed procedure to find GCD of 604, 486, 71, 284 on our page.
3. How to find GCD of 604, 486, 71, 284 on a calculator?
You can find the GCD of 604, 486, 71, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.