GCD of 19, 7, 42, 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 19, 7, 42, 99 i.e. 1 largest integer that divides all the numbers equally.
GCD of 19, 7, 42, 99 is 1
GCD(19, 7, 42, 99) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 19, 7, 42, 99 is 1
GCD(19, 7, 42, 99) = 1
GCDof 19,7,42,99 is 1
Given Input numbers are 19, 7, 42, 99
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 19
List of positive integer divisors of 19 that divides 19 without a remainder.
1, 19
Divisors of 7
List of positive integer divisors of 7 that divides 7 without a remainder.
1, 7
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
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 19, 7, 42, 99 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 19, 7, 42, 99 is 1.
Therefore, GCD of numbers 19, 7, 42, 99 is 1
Given Input Data is 19, 7, 42, 99
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 19 is 19
Prime Factorization of 7 is 7
Prime Factorization of 42 is 2 x 3 x 7
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 19, 7, 42, 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(19, 7) = 133
GCD(19, 7) = ( 19 x 7 ) / 133
GCD(19, 7) = 133 / 133
GCD(19, 7) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 42) = 42
GCD(1, 42) = ( 1 x 42 ) / 42
GCD(1, 42) = 42 / 42
GCD(1, 42) = 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 19, 7, 42, 99 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 19, 7, 42, 99
1. What is the GCD of 19, 7, 42, 99?
GCD of 19, 7, 42, 99 is 1
2. Where do I get the detailed procedure to find GCD of 19, 7, 42, 99?
You can find a detailed procedure to find GCD of 19, 7, 42, 99 on our page.
3. How to find GCD of 19, 7, 42, 99 on a calculator?
You can find the GCD of 19, 7, 42, 99 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.