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 12, 112, 483, 669 i.e. 1 largest integer that divides all the numbers equally.
GCD of 12, 112, 483, 669 is 1
GCD(12, 112, 483, 669) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 12, 112, 483, 669 is 1
GCD(12, 112, 483, 669) = 1
Given Input numbers are 12, 112, 483, 669
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 112
List of positive integer divisors of 112 that divides 112 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 483
List of positive integer divisors of 483 that divides 483 without a remainder.
1, 3, 7, 21, 23, 69, 161, 483
Divisors of 669
List of positive integer divisors of 669 that divides 669 without a remainder.
1, 3, 223, 669
Greatest Common Divisior
We found the divisors of 12, 112, 483, 669 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 112, 483, 669 is 1.
Therefore, GCD of numbers 12, 112, 483, 669 is 1
Given Input Data is 12, 112, 483, 669
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
Prime Factorization of 483 is 3 x 7 x 23
Prime Factorization of 669 is 3 x 223
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(12, 112) = 336
GCD(12, 112) = ( 12 x 112 ) / 336
GCD(12, 112) = 1344 / 336
GCD(12, 112) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 483
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 483) = 1932
GCD(4, 483) = ( 4 x 483 ) / 1932
GCD(4, 483) = 1932 / 1932
GCD(4, 483) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 669
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 669) = 669
GCD(1, 669) = ( 1 x 669 ) / 669
GCD(1, 669) = 669 / 669
GCD(1, 669) = 1
GCD of 12, 112, 483, 669 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 12, 112, 483, 669?
GCD of 12, 112, 483, 669 is 1
2. Where do I get the detailed procedure to find GCD of 12, 112, 483, 669?
You can find a detailed procedure to find GCD of 12, 112, 483, 669 on our page.
3. How to find GCD of 12, 112, 483, 669 on a calculator?
You can find the GCD of 12, 112, 483, 669 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.