GCD of 31, 20, 99, 99 Calculator
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 31, 20, 99, 99 i.e. 1 largest integer that divides all the numbers equally.
GCD of 31, 20, 99, 99 is 1
GCD(31, 20, 99, 99) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 31, 20, 99, 99 is 1
GCD(31, 20, 99, 99) = 1
GCDof 31,20,99,99 is 1
Given Input numbers are 31, 20, 99, 99
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Greatest Common Divisior
We found the divisors of 31, 20, 99, 99 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 20, 99, 99 is 1.
Therefore, GCD of numbers 31, 20, 99, 99 is 1
Given Input Data is 31, 20, 99, 99
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 31 is 31
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 99 is 3 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 31, 20, 99, 99 using LCM Formula
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(31, 20) = 620
GCD(31, 20) = ( 31 x 20 ) / 620
GCD(31, 20) = 620 / 620
GCD(31, 20) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 99) = 99
GCD(1, 99) = ( 1 x 99 ) / 99
GCD(1, 99) = 99 / 99
GCD(1, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 99) = 99
GCD(1, 99) = ( 1 x 99 ) / 99
GCD(1, 99) = 99 / 99
GCD(1, 99) = 1
GCD of 31, 20, 99, 99 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 31, 20, 99, 99
1. What is the GCD of 31, 20, 99, 99?
GCD of 31, 20, 99, 99 is 1
2. Where do I get the detailed procedure to find GCD of 31, 20, 99, 99?
You can find a detailed procedure to find GCD of 31, 20, 99, 99 on our page.
3. How to find GCD of 31, 20, 99, 99 on a calculator?
You can find the GCD of 31, 20, 99, 99 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
