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 534, 500, 316 i.e. 2 largest integer that divides all the numbers equally.
GCD of 534, 500, 316 is 2
GCD(534, 500, 316) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 534, 500, 316 is 2
GCD(534, 500, 316) = 2
Given Input numbers are 534, 500, 316
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 534
List of positive integer divisors of 534 that divides 534 without a remainder.
1, 2, 3, 6, 89, 178, 267, 534
Divisors of 500
List of positive integer divisors of 500 that divides 500 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Greatest Common Divisior
We found the divisors of 534, 500, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 534, 500, 316 is 2.
Therefore, GCD of numbers 534, 500, 316 is 2
Given Input Data is 534, 500, 316
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 534 is 2 x 3 x 89
Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5
Prime Factorization of 316 is 2 x 2 x 79
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(534, 500) = 133500
GCD(534, 500) = ( 534 x 500 ) / 133500
GCD(534, 500) = 267000 / 133500
GCD(534, 500) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 316
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 316) = 316
GCD(2, 316) = ( 2 x 316 ) / 316
GCD(2, 316) = 632 / 316
GCD(2, 316) = 2
GCD of 534, 500, 316 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 534, 500, 316?
GCD of 534, 500, 316 is 2
2. Where do I get the detailed procedure to find GCD of 534, 500, 316?
You can find a detailed procedure to find GCD of 534, 500, 316 on our page.
3. How to find GCD of 534, 500, 316 on a calculator?
You can find the GCD of 534, 500, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.