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, 571, 825, 981 i.e. 1 largest integer that divides all the numbers equally.
GCD of 112, 571, 825, 981 is 1
GCD(112, 571, 825, 981) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 112, 571, 825, 981 is 1
GCD(112, 571, 825, 981) = 1
Given Input numbers are 112, 571, 825, 981
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 571
List of positive integer divisors of 571 that divides 571 without a remainder.
1, 571
Divisors of 825
List of positive integer divisors of 825 that divides 825 without a remainder.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 981
List of positive integer divisors of 981 that divides 981 without a remainder.
1, 3, 9, 109, 327, 981
Greatest Common Divisior
We found the divisors of 112, 571, 825, 981 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 571, 825, 981 is 1.
Therefore, GCD of numbers 112, 571, 825, 981 is 1
Given Input Data is 112, 571, 825, 981
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 571 is 571
Prime Factorization of 825 is 3 x 5 x 5 x 11
Prime Factorization of 981 is 3 x 3 x 109
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, 571) = 63952
GCD(112, 571) = ( 112 x 571 ) / 63952
GCD(112, 571) = 63952 / 63952
GCD(112, 571) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 825
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 825) = 825
GCD(1, 825) = ( 1 x 825 ) / 825
GCD(1, 825) = 825 / 825
GCD(1, 825) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 981
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 981) = 981
GCD(1, 981) = ( 1 x 981 ) / 981
GCD(1, 981) = 981 / 981
GCD(1, 981) = 1
GCD of 112, 571, 825, 981 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 112, 571, 825, 981?
GCD of 112, 571, 825, 981 is 1
2. Where do I get the detailed procedure to find GCD of 112, 571, 825, 981?
You can find a detailed procedure to find GCD of 112, 571, 825, 981 on our page.
3. How to find GCD of 112, 571, 825, 981 on a calculator?
You can find the GCD of 112, 571, 825, 981 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.