GCD of 234, 462, 622 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 234, 462, 622 i.e. 2 largest integer that divides all the numbers equally.
GCD of 234, 462, 622 is 2
GCD(234, 462, 622) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 234, 462, 622 is 2
GCD(234, 462, 622) = 2
GCDof 234,462,622 is 2
Given Input numbers are 234, 462, 622
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 462
List of positive integer divisors of 462 that divides 462 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 622
List of positive integer divisors of 622 that divides 622 without a remainder.
1, 2, 311, 622
Greatest Common Divisior
We found the divisors of 234, 462, 622 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 462, 622 is 2.
Therefore, GCD of numbers 234, 462, 622 is 2
Given Input Data is 234, 462, 622
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 234 is 2 x 3 x 3 x 13
Prime Factorization of 462 is 2 x 3 x 7 x 11
Prime Factorization of 622 is 2 x 311
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 234, 462, 622 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(234, 462) = 18018
GCD(234, 462) = ( 234 x 462 ) / 18018
GCD(234, 462) = 108108 / 18018
GCD(234, 462) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 622
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 622) = 1866
GCD(6, 622) = ( 6 x 622 ) / 1866
GCD(6, 622) = 3732 / 1866
GCD(6, 622) = 2
GCD of 234, 462, 622 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 234, 462, 622
1. What is the GCD of 234, 462, 622?
GCD of 234, 462, 622 is 2
2. Where do I get the detailed procedure to find GCD of 234, 462, 622?
You can find a detailed procedure to find GCD of 234, 462, 622 on our page.
3. How to find GCD of 234, 462, 622 on a calculator?
You can find the GCD of 234, 462, 622 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.