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, 130, 84, 915 i.e. 1 largest integer that divides all the numbers equally.
GCD of 434, 130, 84, 915 is 1
GCD(434, 130, 84, 915) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 434, 130, 84, 915 is 1
GCD(434, 130, 84, 915) = 1
Given Input numbers are 434, 130, 84, 915
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 130
List of positive integer divisors of 130 that divides 130 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130
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 915
List of positive integer divisors of 915 that divides 915 without a remainder.
1, 3, 5, 15, 61, 183, 305, 915
Greatest Common Divisior
We found the divisors of 434, 130, 84, 915 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 130, 84, 915 is 1.
Therefore, GCD of numbers 434, 130, 84, 915 is 1
Given Input Data is 434, 130, 84, 915
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 130 is 2 x 5 x 13
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 915 is 3 x 5 x 61
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, 130) = 28210
GCD(434, 130) = ( 434 x 130 ) / 28210
GCD(434, 130) = 56420 / 28210
GCD(434, 130) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 84
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 84) = 84
GCD(2, 84) = ( 2 x 84 ) / 84
GCD(2, 84) = 168 / 84
GCD(2, 84) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 915
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 915) = 1830
GCD(2, 915) = ( 2 x 915 ) / 1830
GCD(2, 915) = 1830 / 1830
GCD(2, 915) = 1
GCD of 434, 130, 84, 915 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 434, 130, 84, 915?
GCD of 434, 130, 84, 915 is 1
2. Where do I get the detailed procedure to find GCD of 434, 130, 84, 915?
You can find a detailed procedure to find GCD of 434, 130, 84, 915 on our page.
3. How to find GCD of 434, 130, 84, 915 on a calculator?
You can find the GCD of 434, 130, 84, 915 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.