GCD of 900, 498, 106 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 900, 498, 106 i.e. 2 largest integer that divides all the numbers equally.
GCD of 900, 498, 106 is 2
GCD(900, 498, 106) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 900, 498, 106 is 2
GCD(900, 498, 106) = 2
GCDof 900,498,106 is 2
Given Input numbers are 900, 498, 106
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 900
List of positive integer divisors of 900 that divides 900 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
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 106
List of positive integer divisors of 106 that divides 106 without a remainder.
1, 2, 53, 106
Greatest Common Divisior
We found the divisors of 900, 498, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 498, 106 is 2.
Therefore, GCD of numbers 900, 498, 106 is 2
Given Input Data is 900, 498, 106
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5
Prime Factorization of 498 is 2 x 3 x 83
Prime Factorization of 106 is 2 x 53
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 900, 498, 106 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(900, 498) = 74700
GCD(900, 498) = ( 900 x 498 ) / 74700
GCD(900, 498) = 448200 / 74700
GCD(900, 498) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 106
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 106) = 318
GCD(6, 106) = ( 6 x 106 ) / 318
GCD(6, 106) = 636 / 318
GCD(6, 106) = 2
GCD of 900, 498, 106 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 900, 498, 106
1. What is the GCD of 900, 498, 106?
GCD of 900, 498, 106 is 2
2. Where do I get the detailed procedure to find GCD of 900, 498, 106?
You can find a detailed procedure to find GCD of 900, 498, 106 on our page.
3. How to find GCD of 900, 498, 106 on a calculator?
You can find the GCD of 900, 498, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.