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 112, 436, 34, 817 i.e. 1 largest integer that divides all the numbers equally.
GCD of 112, 436, 34, 817 is 1
GCD(112, 436, 34, 817) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 112, 436, 34, 817 is 1
GCD(112, 436, 34, 817) = 1
Given Input numbers are 112, 436, 34, 817
To find the GCD of numbers using factoring list out all the divisors of each number
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 436
List of positive integer divisors of 436 that divides 436 without a remainder.
1, 2, 4, 109, 218, 436
Divisors of 34
List of positive integer divisors of 34 that divides 34 without a remainder.
1, 2, 17, 34
Divisors of 817
List of positive integer divisors of 817 that divides 817 without a remainder.
1, 19, 43, 817
Greatest Common Divisior
We found the divisors of 112, 436, 34, 817 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 436, 34, 817 is 1.
Therefore, GCD of numbers 112, 436, 34, 817 is 1
Given Input Data is 112, 436, 34, 817
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
Prime Factorization of 436 is 2 x 2 x 109
Prime Factorization of 34 is 2 x 17
Prime Factorization of 817 is 19 x 43
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(112, 436) = 12208
GCD(112, 436) = ( 112 x 436 ) / 12208
GCD(112, 436) = 48832 / 12208
GCD(112, 436) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 34
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 34) = 68
GCD(4, 34) = ( 4 x 34 ) / 68
GCD(4, 34) = 136 / 68
GCD(4, 34) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 817
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 817) = 1634
GCD(2, 817) = ( 2 x 817 ) / 1634
GCD(2, 817) = 1634 / 1634
GCD(2, 817) = 1
GCD of 112, 436, 34, 817 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 112, 436, 34, 817?
GCD of 112, 436, 34, 817 is 1
2. Where do I get the detailed procedure to find GCD of 112, 436, 34, 817?
You can find a detailed procedure to find GCD of 112, 436, 34, 817 on our page.
3. How to find GCD of 112, 436, 34, 817 on a calculator?
You can find the GCD of 112, 436, 34, 817 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.