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 475, 204, 75, 112 i.e. 1 largest integer that divides all the numbers equally.
GCD of 475, 204, 75, 112 is 1
GCD(475, 204, 75, 112) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 475, 204, 75, 112 is 1
GCD(475, 204, 75, 112) = 1
Given Input numbers are 475, 204, 75, 112
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 475
List of positive integer divisors of 475 that divides 475 without a remainder.
1, 5, 19, 25, 95, 475
Divisors of 204
List of positive integer divisors of 204 that divides 204 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
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
Greatest Common Divisior
We found the divisors of 475, 204, 75, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 475, 204, 75, 112 is 1.
Therefore, GCD of numbers 475, 204, 75, 112 is 1
Given Input Data is 475, 204, 75, 112
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 475 is 5 x 5 x 19
Prime Factorization of 204 is 2 x 2 x 3 x 17
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
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(475, 204) = 96900
GCD(475, 204) = ( 475 x 204 ) / 96900
GCD(475, 204) = 96900 / 96900
GCD(475, 204) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 75) = 75
GCD(1, 75) = ( 1 x 75 ) / 75
GCD(1, 75) = 75 / 75
GCD(1, 75) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 112
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 112) = 112
GCD(1, 112) = ( 1 x 112 ) / 112
GCD(1, 112) = 112 / 112
GCD(1, 112) = 1
GCD of 475, 204, 75, 112 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 475, 204, 75, 112?
GCD of 475, 204, 75, 112 is 1
2. Where do I get the detailed procedure to find GCD of 475, 204, 75, 112?
You can find a detailed procedure to find GCD of 475, 204, 75, 112 on our page.
3. How to find GCD of 475, 204, 75, 112 on a calculator?
You can find the GCD of 475, 204, 75, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.