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, 326, 642, 428 i.e. 2 largest integer that divides all the numbers equally.
GCD of 270, 326, 642, 428 is 2
GCD(270, 326, 642, 428) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 270, 326, 642, 428 is 2
GCD(270, 326, 642, 428) = 2
Given Input numbers are 270, 326, 642, 428
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 326
List of positive integer divisors of 326 that divides 326 without a remainder.
1, 2, 163, 326
Divisors of 642
List of positive integer divisors of 642 that divides 642 without a remainder.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Greatest Common Divisior
We found the divisors of 270, 326, 642, 428 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 326, 642, 428 is 2.
Therefore, GCD of numbers 270, 326, 642, 428 is 2
Given Input Data is 270, 326, 642, 428
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 326 is 2 x 163
Prime Factorization of 642 is 2 x 3 x 107
Prime Factorization of 428 is 2 x 2 x 107
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 326) = 44010
GCD(270, 326) = ( 270 x 326 ) / 44010
GCD(270, 326) = 88020 / 44010
GCD(270, 326) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 642
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 642) = 642
GCD(2, 642) = ( 2 x 642 ) / 642
GCD(2, 642) = 1284 / 642
GCD(2, 642) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 428
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 428) = 428
GCD(2, 428) = ( 2 x 428 ) / 428
GCD(2, 428) = 856 / 428
GCD(2, 428) = 2
GCD of 270, 326, 642, 428 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 270, 326, 642, 428?
GCD of 270, 326, 642, 428 is 2
2. Where do I get the detailed procedure to find GCD of 270, 326, 642, 428?
You can find a detailed procedure to find GCD of 270, 326, 642, 428 on our page.
3. How to find GCD of 270, 326, 642, 428 on a calculator?
You can find the GCD of 270, 326, 642, 428 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.