GCD of 270, 786, 638 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 270, 786, 638 i.e. 2 largest integer that divides all the numbers equally.
GCD of 270, 786, 638 is 2
GCD(270, 786, 638) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 270, 786, 638 is 2
GCD(270, 786, 638) = 2
GCDof 270,786,638 is 2
Given Input numbers are 270, 786, 638
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 270
List of positive integer divisors of 270 that divides 270 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 786
List of positive integer divisors of 786 that divides 786 without a remainder.
1, 2, 3, 6, 131, 262, 393, 786
Divisors of 638
List of positive integer divisors of 638 that divides 638 without a remainder.
1, 2, 11, 22, 29, 58, 319, 638
Greatest Common Divisior
We found the divisors of 270, 786, 638 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 786, 638 is 2.
Therefore, GCD of numbers 270, 786, 638 is 2
Given Input Data is 270, 786, 638
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
Prime Factorization of 786 is 2 x 3 x 131
Prime Factorization of 638 is 2 x 11 x 29
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 270, 786, 638 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(270, 786) = 35370
GCD(270, 786) = ( 270 x 786 ) / 35370
GCD(270, 786) = 212220 / 35370
GCD(270, 786) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 638
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 638) = 1914
GCD(6, 638) = ( 6 x 638 ) / 1914
GCD(6, 638) = 3828 / 1914
GCD(6, 638) = 2
GCD of 270, 786, 638 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 270, 786, 638
1. What is the GCD of 270, 786, 638?
GCD of 270, 786, 638 is 2
2. Where do I get the detailed procedure to find GCD of 270, 786, 638?
You can find a detailed procedure to find GCD of 270, 786, 638 on our page.
3. How to find GCD of 270, 786, 638 on a calculator?
You can find the GCD of 270, 786, 638 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.