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 434, 305, 953 i.e. 1 largest integer that divides all the numbers equally.
GCD of 434, 305, 953 is 1
GCD(434, 305, 953) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 434, 305, 953 is 1
GCD(434, 305, 953) = 1
Given Input numbers are 434, 305, 953
To find the GCD of numbers using factoring list out all the divisors of each number
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 305
List of positive integer divisors of 305 that divides 305 without a remainder.
1, 5, 61, 305
Divisors of 953
List of positive integer divisors of 953 that divides 953 without a remainder.
1, 953
Greatest Common Divisior
We found the divisors of 434, 305, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 305, 953 is 1.
Therefore, GCD of numbers 434, 305, 953 is 1
Given Input Data is 434, 305, 953
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 434 is 2 x 7 x 31
Prime Factorization of 305 is 5 x 61
Prime Factorization of 953 is 953
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(434, 305) = 132370
GCD(434, 305) = ( 434 x 305 ) / 132370
GCD(434, 305) = 132370 / 132370
GCD(434, 305) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 953
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 953) = 953
GCD(1, 953) = ( 1 x 953 ) / 953
GCD(1, 953) = 953 / 953
GCD(1, 953) = 1
GCD of 434, 305, 953 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 434, 305, 953?
GCD of 434, 305, 953 is 1
2. Where do I get the detailed procedure to find GCD of 434, 305, 953?
You can find a detailed procedure to find GCD of 434, 305, 953 on our page.
3. How to find GCD of 434, 305, 953 on a calculator?
You can find the GCD of 434, 305, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.