GCD of 498, 228, 155 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 498, 228, 155 i.e. 1 largest integer that divides all the numbers equally.
GCD of 498, 228, 155 is 1
GCD(498, 228, 155) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 498, 228, 155 is 1
GCD(498, 228, 155) = 1
GCDof 498,228,155 is 1
Given Input numbers are 498, 228, 155
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 498
List of positive integer divisors of 498 that divides 498 without a remainder.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 228
List of positive integer divisors of 228 that divides 228 without a remainder.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
Divisors of 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Greatest Common Divisior
We found the divisors of 498, 228, 155 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 228, 155 is 1.
Therefore, GCD of numbers 498, 228, 155 is 1
Given Input Data is 498, 228, 155
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 498 is 2 x 3 x 83
Prime Factorization of 228 is 2 x 2 x 3 x 19
Prime Factorization of 155 is 5 x 31
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 498, 228, 155 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(498, 228) = 18924
GCD(498, 228) = ( 498 x 228 ) / 18924
GCD(498, 228) = 113544 / 18924
GCD(498, 228) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 155
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 155) = 930
GCD(6, 155) = ( 6 x 155 ) / 930
GCD(6, 155) = 930 / 930
GCD(6, 155) = 1
GCD of 498, 228, 155 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 498, 228, 155
1. What is the GCD of 498, 228, 155?
GCD of 498, 228, 155 is 1
2. Where do I get the detailed procedure to find GCD of 498, 228, 155?
You can find a detailed procedure to find GCD of 498, 228, 155 on our page.
3. How to find GCD of 498, 228, 155 on a calculator?
You can find the GCD of 498, 228, 155 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.