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, 331, 84, 573 i.e. 1 largest integer that divides all the numbers equally.
GCD of 112, 331, 84, 573 is 1
GCD(112, 331, 84, 573) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 112, 331, 84, 573 is 1
GCD(112, 331, 84, 573) = 1
Given Input numbers are 112, 331, 84, 573
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 331
List of positive integer divisors of 331 that divides 331 without a remainder.
1, 331
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 573
List of positive integer divisors of 573 that divides 573 without a remainder.
1, 3, 191, 573
Greatest Common Divisior
We found the divisors of 112, 331, 84, 573 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 331, 84, 573 is 1.
Therefore, GCD of numbers 112, 331, 84, 573 is 1
Given Input Data is 112, 331, 84, 573
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 331 is 331
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 573 is 3 x 191
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, 331) = 37072
GCD(112, 331) = ( 112 x 331 ) / 37072
GCD(112, 331) = 37072 / 37072
GCD(112, 331) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 84
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 84) = 84
GCD(1, 84) = ( 1 x 84 ) / 84
GCD(1, 84) = 84 / 84
GCD(1, 84) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 573
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 573) = 573
GCD(1, 573) = ( 1 x 573 ) / 573
GCD(1, 573) = 573 / 573
GCD(1, 573) = 1
GCD of 112, 331, 84, 573 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 112, 331, 84, 573?
GCD of 112, 331, 84, 573 is 1
2. Where do I get the detailed procedure to find GCD of 112, 331, 84, 573?
You can find a detailed procedure to find GCD of 112, 331, 84, 573 on our page.
3. How to find GCD of 112, 331, 84, 573 on a calculator?
You can find the GCD of 112, 331, 84, 573 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.