GCD of 500, 332, 298 Calculator
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 500, 332, 298 i.e. 2 largest integer that divides all the numbers equally.
GCD of 500, 332, 298 is 2
GCD(500, 332, 298) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 500, 332, 298 is 2
GCD(500, 332, 298) = 2
GCDof 500,332,298 is 2
Given Input numbers are 500, 332, 298
To find the GCD of numbers using factoring list out all the divisors of each number
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 332
List of positive integer divisors of 332 that divides 332 without a remainder.
1, 2, 4, 83, 166, 332
Divisors of 298
List of positive integer divisors of 298 that divides 298 without a remainder.
1, 2, 149, 298
Greatest Common Divisior
We found the divisors of 500, 332, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 332, 298 is 2.
Therefore, GCD of numbers 500, 332, 298 is 2
Given Input Data is 500, 332, 298
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5
Prime Factorization of 332 is 2 x 2 x 83
Prime Factorization of 298 is 2 x 149
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 500, 332, 298 using LCM Formula
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(500, 332) = 41500
GCD(500, 332) = ( 500 x 332 ) / 41500
GCD(500, 332) = 166000 / 41500
GCD(500, 332) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 298
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 298) = 596
GCD(4, 298) = ( 4 x 298 ) / 596
GCD(4, 298) = 1192 / 596
GCD(4, 298) = 2
GCD of 500, 332, 298 is 2
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FAQs on GCD of numbers 500, 332, 298
1. What is the GCD of 500, 332, 298?
GCD of 500, 332, 298 is 2
2. Where do I get the detailed procedure to find GCD of 500, 332, 298?
You can find a detailed procedure to find GCD of 500, 332, 298 on our page.
3. How to find GCD of 500, 332, 298 on a calculator?
You can find the GCD of 500, 332, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.