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, 591, 48, 295 i.e. 1 largest integer that divides all the numbers equally.
GCD of 434, 591, 48, 295 is 1
GCD(434, 591, 48, 295) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 434, 591, 48, 295 is 1
GCD(434, 591, 48, 295) = 1
Given Input numbers are 434, 591, 48, 295
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 591
List of positive integer divisors of 591 that divides 591 without a remainder.
1, 3, 197, 591
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 295
List of positive integer divisors of 295 that divides 295 without a remainder.
1, 5, 59, 295
Greatest Common Divisior
We found the divisors of 434, 591, 48, 295 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 591, 48, 295 is 1.
Therefore, GCD of numbers 434, 591, 48, 295 is 1
Given Input Data is 434, 591, 48, 295
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 591 is 3 x 197
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 295 is 5 x 59
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, 591) = 256494
GCD(434, 591) = ( 434 x 591 ) / 256494
GCD(434, 591) = 256494 / 256494
GCD(434, 591) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 48) = 48
GCD(1, 48) = ( 1 x 48 ) / 48
GCD(1, 48) = 48 / 48
GCD(1, 48) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 295
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 295) = 295
GCD(1, 295) = ( 1 x 295 ) / 295
GCD(1, 295) = 295 / 295
GCD(1, 295) = 1
GCD of 434, 591, 48, 295 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 434, 591, 48, 295?
GCD of 434, 591, 48, 295 is 1
2. Where do I get the detailed procedure to find GCD of 434, 591, 48, 295?
You can find a detailed procedure to find GCD of 434, 591, 48, 295 on our page.
3. How to find GCD of 434, 591, 48, 295 on a calculator?
You can find the GCD of 434, 591, 48, 295 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.