GCD of 585, 783, 402 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 585, 783, 402 i.e. 3 largest integer that divides all the numbers equally.
GCD of 585, 783, 402 is 3
GCD(585, 783, 402) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 585, 783, 402 is 3
GCD(585, 783, 402) = 3
GCDof 585,783,402 is 3
Given Input numbers are 585, 783, 402
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 585
List of positive integer divisors of 585 that divides 585 without a remainder.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
Divisors of 783
List of positive integer divisors of 783 that divides 783 without a remainder.
1, 3, 9, 27, 29, 87, 261, 783
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Greatest Common Divisior
We found the divisors of 585, 783, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 783, 402 is 3.
Therefore, GCD of numbers 585, 783, 402 is 3
Given Input Data is 585, 783, 402
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 585 is 3 x 3 x 5 x 13
Prime Factorization of 783 is 3 x 3 x 3 x 29
Prime Factorization of 402 is 2 x 3 x 67
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 585, 783, 402 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(585, 783) = 50895
GCD(585, 783) = ( 585 x 783 ) / 50895
GCD(585, 783) = 458055 / 50895
GCD(585, 783) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 402
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 402) = 1206
GCD(9, 402) = ( 9 x 402 ) / 1206
GCD(9, 402) = 3618 / 1206
GCD(9, 402) = 3
GCD of 585, 783, 402 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 585, 783, 402
1. What is the GCD of 585, 783, 402?
GCD of 585, 783, 402 is 3
2. Where do I get the detailed procedure to find GCD of 585, 783, 402?
You can find a detailed procedure to find GCD of 585, 783, 402 on our page.
3. How to find GCD of 585, 783, 402 on a calculator?
You can find the GCD of 585, 783, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.