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, 732, 39, 520 i.e. 1 largest integer that divides all the numbers equally.
GCD of 434, 732, 39, 520 is 1
GCD(434, 732, 39, 520) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 434, 732, 39, 520 is 1
GCD(434, 732, 39, 520) = 1
Given Input numbers are 434, 732, 39, 520
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 732
List of positive integer divisors of 732 that divides 732 without a remainder.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Divisors of 520
List of positive integer divisors of 520 that divides 520 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Greatest Common Divisior
We found the divisors of 434, 732, 39, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 732, 39, 520 is 1.
Therefore, GCD of numbers 434, 732, 39, 520 is 1
Given Input Data is 434, 732, 39, 520
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 732 is 2 x 2 x 3 x 61
Prime Factorization of 39 is 3 x 13
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
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, 732) = 158844
GCD(434, 732) = ( 434 x 732 ) / 158844
GCD(434, 732) = 317688 / 158844
GCD(434, 732) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 39
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 39) = 78
GCD(2, 39) = ( 2 x 39 ) / 78
GCD(2, 39) = 78 / 78
GCD(2, 39) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 520
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 520) = 520
GCD(1, 520) = ( 1 x 520 ) / 520
GCD(1, 520) = 520 / 520
GCD(1, 520) = 1
GCD of 434, 732, 39, 520 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 434, 732, 39, 520?
GCD of 434, 732, 39, 520 is 1
2. Where do I get the detailed procedure to find GCD of 434, 732, 39, 520?
You can find a detailed procedure to find GCD of 434, 732, 39, 520 on our page.
3. How to find GCD of 434, 732, 39, 520 on a calculator?
You can find the GCD of 434, 732, 39, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.