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 284, 143, 28, 612 i.e. 1 largest integer that divides all the numbers equally.
GCD of 284, 143, 28, 612 is 1
GCD(284, 143, 28, 612) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 284, 143, 28, 612 is 1
GCD(284, 143, 28, 612) = 1
Given Input numbers are 284, 143, 28, 612
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 284
List of positive integer divisors of 284 that divides 284 without a remainder.
1, 2, 4, 71, 142, 284
Divisors of 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
Divisors of 612
List of positive integer divisors of 612 that divides 612 without a remainder.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Greatest Common Divisior
We found the divisors of 284, 143, 28, 612 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 143, 28, 612 is 1.
Therefore, GCD of numbers 284, 143, 28, 612 is 1
Given Input Data is 284, 143, 28, 612
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 284 is 2 x 2 x 71
Prime Factorization of 143 is 11 x 13
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17
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(284, 143) = 40612
GCD(284, 143) = ( 284 x 143 ) / 40612
GCD(284, 143) = 40612 / 40612
GCD(284, 143) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 28
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 28) = 28
GCD(1, 28) = ( 1 x 28 ) / 28
GCD(1, 28) = 28 / 28
GCD(1, 28) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 612
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 612) = 612
GCD(1, 612) = ( 1 x 612 ) / 612
GCD(1, 612) = 612 / 612
GCD(1, 612) = 1
GCD of 284, 143, 28, 612 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 284, 143, 28, 612?
GCD of 284, 143, 28, 612 is 1
2. Where do I get the detailed procedure to find GCD of 284, 143, 28, 612?
You can find a detailed procedure to find GCD of 284, 143, 28, 612 on our page.
3. How to find GCD of 284, 143, 28, 612 on a calculator?
You can find the GCD of 284, 143, 28, 612 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.