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 334, 434, 99, 844 i.e. 1 largest integer that divides all the numbers equally.
GCD of 334, 434, 99, 844 is 1
GCD(334, 434, 99, 844) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 334, 434, 99, 844 is 1
GCD(334, 434, 99, 844) = 1
Given Input numbers are 334, 434, 99, 844
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 334
List of positive integer divisors of 334 that divides 334 without a remainder.
1, 2, 167, 334
Divisors of 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 844
List of positive integer divisors of 844 that divides 844 without a remainder.
1, 2, 4, 211, 422, 844
Greatest Common Divisior
We found the divisors of 334, 434, 99, 844 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 334, 434, 99, 844 is 1.
Therefore, GCD of numbers 334, 434, 99, 844 is 1
Given Input Data is 334, 434, 99, 844
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 334 is 2 x 167
Prime Factorization of 434 is 2 x 7 x 31
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 844 is 2 x 2 x 211
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(334, 434) = 72478
GCD(334, 434) = ( 334 x 434 ) / 72478
GCD(334, 434) = 144956 / 72478
GCD(334, 434) = 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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 844
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 844) = 844
GCD(1, 844) = ( 1 x 844 ) / 844
GCD(1, 844) = 844 / 844
GCD(1, 844) = 1
GCD of 334, 434, 99, 844 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 334, 434, 99, 844?
GCD of 334, 434, 99, 844 is 1
2. Where do I get the detailed procedure to find GCD of 334, 434, 99, 844?
You can find a detailed procedure to find GCD of 334, 434, 99, 844 on our page.
3. How to find GCD of 334, 434, 99, 844 on a calculator?
You can find the GCD of 334, 434, 99, 844 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.