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 476, 112, 671 i.e. 1 largest integer that divides all the numbers equally.
GCD of 476, 112, 671 is 1
GCD(476, 112, 671) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 476, 112, 671 is 1
GCD(476, 112, 671) = 1
Given Input numbers are 476, 112, 671
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 476
List of positive integer divisors of 476 that divides 476 without a remainder.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
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 671
List of positive integer divisors of 671 that divides 671 without a remainder.
1, 11, 61, 671
Greatest Common Divisior
We found the divisors of 476, 112, 671 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 476, 112, 671 is 1.
Therefore, GCD of numbers 476, 112, 671 is 1
Given Input Data is 476, 112, 671
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 476 is 2 x 2 x 7 x 17
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
Prime Factorization of 671 is 11 x 61
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(476, 112) = 1904
GCD(476, 112) = ( 476 x 112 ) / 1904
GCD(476, 112) = 53312 / 1904
GCD(476, 112) = 28
Step2:
Here we consider the GCD from the above i.e. 28 as first number and the next as 671
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(28, 671) = 18788
GCD(28, 671) = ( 28 x 671 ) / 18788
GCD(28, 671) = 18788 / 18788
GCD(28, 671) = 1
GCD of 476, 112, 671 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 476, 112, 671?
GCD of 476, 112, 671 is 1
2. Where do I get the detailed procedure to find GCD of 476, 112, 671?
You can find a detailed procedure to find GCD of 476, 112, 671 on our page.
3. How to find GCD of 476, 112, 671 on a calculator?
You can find the GCD of 476, 112, 671 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.