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, 452, 520 i.e. 2 largest integer that divides all the numbers equally.
GCD of 334, 452, 520 is 2
GCD(334, 452, 520) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 334, 452, 520 is 2
GCD(334, 452, 520) = 2
Given Input numbers are 334, 452, 520
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 452
List of positive integer divisors of 452 that divides 452 without a remainder.
1, 2, 4, 113, 226, 452
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 334, 452, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 334, 452, 520 is 2.
Therefore, GCD of numbers 334, 452, 520 is 2
Given Input Data is 334, 452, 520
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 334 is 2 x 167
Prime Factorization of 452 is 2 x 2 x 113
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 452) = 75484
GCD(334, 452) = ( 334 x 452 ) / 75484
GCD(334, 452) = 150968 / 75484
GCD(334, 452) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 520
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 520) = 520
GCD(2, 520) = ( 2 x 520 ) / 520
GCD(2, 520) = 1040 / 520
GCD(2, 520) = 2
GCD of 334, 452, 520 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 334, 452, 520?
GCD of 334, 452, 520 is 2
2. Where do I get the detailed procedure to find GCD of 334, 452, 520?
You can find a detailed procedure to find GCD of 334, 452, 520 on our page.
3. How to find GCD of 334, 452, 520 on a calculator?
You can find the GCD of 334, 452, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.