GCD of 588, 422, 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 588, 422, 106 i.e. 2 largest integer that divides all the numbers equally.
GCD of 588, 422, 106 is 2
GCD(588, 422, 106) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 588, 422, 106 is 2
GCD(588, 422, 106) = 2
GCDof 588,422,106 is 2
Given Input numbers are 588, 422, 106
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 588
List of positive integer divisors of 588 that divides 588 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 422
List of positive integer divisors of 422 that divides 422 without a remainder.
1, 2, 211, 422
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 588, 422, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 422, 106 is 2.
Therefore, GCD of numbers 588, 422, 106 is 2
Given Input Data is 588, 422, 106
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7
Prime Factorization of 422 is 2 x 211
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 588, 422, 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(588, 422) = 124068
GCD(588, 422) = ( 588 x 422 ) / 124068
GCD(588, 422) = 248136 / 124068
GCD(588, 422) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 106
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 106) = 106
GCD(2, 106) = ( 2 x 106 ) / 106
GCD(2, 106) = 212 / 106
GCD(2, 106) = 2
GCD of 588, 422, 106 is 2
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 588, 422, 106
1. What is the GCD of 588, 422, 106?
GCD of 588, 422, 106 is 2
2. Where do I get the detailed procedure to find GCD of 588, 422, 106?
You can find a detailed procedure to find GCD of 588, 422, 106 on our page.
3. How to find GCD of 588, 422, 106 on a calculator?
You can find the GCD of 588, 422, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
