GCD of 252, 222, 470 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 252, 222, 470 i.e. 2 largest integer that divides all the numbers equally.
GCD of 252, 222, 470 is 2
GCD(252, 222, 470) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 252, 222, 470 is 2
GCD(252, 222, 470) = 2
GCDof 252,222,470 is 2
Given Input numbers are 252, 222, 470
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 252
List of positive integer divisors of 252 that divides 252 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 222
List of positive integer divisors of 222 that divides 222 without a remainder.
1, 2, 3, 6, 37, 74, 111, 222
Divisors of 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
Greatest Common Divisior
We found the divisors of 252, 222, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 222, 470 is 2.
Therefore, GCD of numbers 252, 222, 470 is 2
Given Input Data is 252, 222, 470
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7
Prime Factorization of 222 is 2 x 3 x 37
Prime Factorization of 470 is 2 x 5 x 47
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 252, 222, 470 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(252, 222) = 9324
GCD(252, 222) = ( 252 x 222 ) / 9324
GCD(252, 222) = 55944 / 9324
GCD(252, 222) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 470
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 470) = 1410
GCD(6, 470) = ( 6 x 470 ) / 1410
GCD(6, 470) = 2820 / 1410
GCD(6, 470) = 2
GCD of 252, 222, 470 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 252, 222, 470
1. What is the GCD of 252, 222, 470?
GCD of 252, 222, 470 is 2
2. Where do I get the detailed procedure to find GCD of 252, 222, 470?
You can find a detailed procedure to find GCD of 252, 222, 470 on our page.
3. How to find GCD of 252, 222, 470 on a calculator?
You can find the GCD of 252, 222, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.