GCD of 130, 660, 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 130, 660, 282 i.e. 2 largest integer that divides all the numbers equally.
GCD of 130, 660, 282 is 2
GCD(130, 660, 282) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 130, 660, 282 is 2
GCD(130, 660, 282) = 2
GCDof 130,660,282 is 2
Given Input numbers are 130, 660, 282
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 130
List of positive integer divisors of 130 that divides 130 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
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 130, 660, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 660, 282 is 2.
Therefore, GCD of numbers 130, 660, 282 is 2
Given Input Data is 130, 660, 282
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 130 is 2 x 5 x 13
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
Prime Factorization of 282 is 2 x 3 x 47
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 130, 660, 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(130, 660) = 8580
GCD(130, 660) = ( 130 x 660 ) / 8580
GCD(130, 660) = 85800 / 8580
GCD(130, 660) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 282
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 282) = 1410
GCD(10, 282) = ( 10 x 282 ) / 1410
GCD(10, 282) = 2820 / 1410
GCD(10, 282) = 2
GCD of 130, 660, 282 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 130, 660, 282
1. What is the GCD of 130, 660, 282?
GCD of 130, 660, 282 is 2
2. Where do I get the detailed procedure to find GCD of 130, 660, 282?
You can find a detailed procedure to find GCD of 130, 660, 282 on our page.
3. How to find GCD of 130, 660, 282 on a calculator?
You can find the GCD of 130, 660, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.