GCD of 420, 105, 282 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 420, 105, 282 i.e. 3 largest integer that divides all the numbers equally.
GCD of 420, 105, 282 is 3
GCD(420, 105, 282) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 420, 105, 282 is 3
GCD(420, 105, 282) = 3
GCDof 420,105,282 is 3
Given Input numbers are 420, 105, 282
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 420
List of positive integer divisors of 420 that divides 420 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 105
List of positive integer divisors of 105 that divides 105 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 282
List of positive integer divisors of 282 that divides 282 without a remainder.
1, 2, 3, 6, 47, 94, 141, 282
Greatest Common Divisior
We found the divisors of 420, 105, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 105, 282 is 3.
Therefore, GCD of numbers 420, 105, 282 is 3
Given Input Data is 420, 105, 282
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
Prime Factorization of 105 is 3 x 5 x 7
Prime Factorization of 282 is 2 x 3 x 47
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 420, 105, 282 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(420, 105) = 420
GCD(420, 105) = ( 420 x 105 ) / 420
GCD(420, 105) = 44100 / 420
GCD(420, 105) = 105
Step2:
Here we consider the GCD from the above i.e. 105 as first number and the next as 282
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(105, 282) = 9870
GCD(105, 282) = ( 105 x 282 ) / 9870
GCD(105, 282) = 29610 / 9870
GCD(105, 282) = 3
GCD of 420, 105, 282 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 420, 105, 282
1. What is the GCD of 420, 105, 282?
GCD of 420, 105, 282 is 3
2. Where do I get the detailed procedure to find GCD of 420, 105, 282?
You can find a detailed procedure to find GCD of 420, 105, 282 on our page.
3. How to find GCD of 420, 105, 282 on a calculator?
You can find the GCD of 420, 105, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.