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, 555, 557, 853 i.e. 1 largest integer that divides all the numbers equally.
GCD of 112, 555, 557, 853 is 1
GCD(112, 555, 557, 853) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 112, 555, 557, 853 is 1
GCD(112, 555, 557, 853) = 1
Given Input numbers are 112, 555, 557, 853
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 555
List of positive integer divisors of 555 that divides 555 without a remainder.
1, 3, 5, 15, 37, 111, 185, 555
Divisors of 557
List of positive integer divisors of 557 that divides 557 without a remainder.
1, 557
Divisors of 853
List of positive integer divisors of 853 that divides 853 without a remainder.
1, 853
Greatest Common Divisior
We found the divisors of 112, 555, 557, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 555, 557, 853 is 1.
Therefore, GCD of numbers 112, 555, 557, 853 is 1
Given Input Data is 112, 555, 557, 853
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 555 is 3 x 5 x 37
Prime Factorization of 557 is 557
Prime Factorization of 853 is 853
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, 555) = 62160
GCD(112, 555) = ( 112 x 555 ) / 62160
GCD(112, 555) = 62160 / 62160
GCD(112, 555) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 557
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 557) = 557
GCD(1, 557) = ( 1 x 557 ) / 557
GCD(1, 557) = 557 / 557
GCD(1, 557) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 853
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 853) = 853
GCD(1, 853) = ( 1 x 853 ) / 853
GCD(1, 853) = 853 / 853
GCD(1, 853) = 1
GCD of 112, 555, 557, 853 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 112, 555, 557, 853?
GCD of 112, 555, 557, 853 is 1
2. Where do I get the detailed procedure to find GCD of 112, 555, 557, 853?
You can find a detailed procedure to find GCD of 112, 555, 557, 853 on our page.
3. How to find GCD of 112, 555, 557, 853 on a calculator?
You can find the GCD of 112, 555, 557, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.