GCD of 34, 84, 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 34, 84, 99 i.e. 1 largest integer that divides all the numbers equally.
GCD of 34, 84, 99 is 1
GCD(34, 84, 99) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 34, 84, 99 is 1
GCD(34, 84, 99) = 1
GCDof 34,84,99 is 1
Given Input numbers are 34, 84, 99
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 34
List of positive integer divisors of 34 that divides 34 without a remainder.
1, 2, 17, 34
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 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 34, 84, 99 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 84, 99 is 1.
Therefore, GCD of numbers 34, 84, 99 is 1
Given Input Data is 34, 84, 99
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 34 is 2 x 17
Prime Factorization of 84 is 2 x 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 34, 84, 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(34, 84) = 1428
GCD(34, 84) = ( 34 x 84 ) / 1428
GCD(34, 84) = 2856 / 1428
GCD(34, 84) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 99) = 198
GCD(2, 99) = ( 2 x 99 ) / 198
GCD(2, 99) = 198 / 198
GCD(2, 99) = 1
GCD of 34, 84, 99 is 1
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FAQs on GCD of numbers 34, 84, 99
1. What is the GCD of 34, 84, 99?
GCD of 34, 84, 99 is 1
2. Where do I get the detailed procedure to find GCD of 34, 84, 99?
You can find a detailed procedure to find GCD of 34, 84, 99 on our page.
3. How to find GCD of 34, 84, 99 on a calculator?
You can find the GCD of 34, 84, 99 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.