GCD of 420, 240, 39 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, 240, 39 i.e. 3 largest integer that divides all the numbers equally.
GCD of 420, 240, 39 is 3
GCD(420, 240, 39) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 420, 240, 39 is 3
GCD(420, 240, 39) = 3
GCDof 420,240,39 is 3
Given Input numbers are 420, 240, 39
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 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Greatest Common Divisior
We found the divisors of 420, 240, 39 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 240, 39 is 3.
Therefore, GCD of numbers 420, 240, 39 is 3
Given Input Data is 420, 240, 39
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 240 is 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 39 is 3 x 13
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 420, 240, 39 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, 240) = 1680
GCD(420, 240) = ( 420 x 240 ) / 1680
GCD(420, 240) = 100800 / 1680
GCD(420, 240) = 60
Step2:
Here we consider the GCD from the above i.e. 60 as first number and the next as 39
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(60, 39) = 780
GCD(60, 39) = ( 60 x 39 ) / 780
GCD(60, 39) = 2340 / 780
GCD(60, 39) = 3
GCD of 420, 240, 39 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 420, 240, 39
1. What is the GCD of 420, 240, 39?
GCD of 420, 240, 39 is 3
2. Where do I get the detailed procedure to find GCD of 420, 240, 39?
You can find a detailed procedure to find GCD of 420, 240, 39 on our page.
3. How to find GCD of 420, 240, 39 on a calculator?
You can find the GCD of 420, 240, 39 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.