GCD of 104, 540, 882 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 104, 540, 882 i.e. 2 largest integer that divides all the numbers equally.
GCD of 104, 540, 882 is 2
GCD(104, 540, 882) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 104, 540, 882 is 2
GCD(104, 540, 882) = 2
GCDof 104,540,882 is 2
Given Input numbers are 104, 540, 882
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 540
List of positive integer divisors of 540 that divides 540 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 882
List of positive integer divisors of 882 that divides 882 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
Greatest Common Divisior
We found the divisors of 104, 540, 882 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 540, 882 is 2.
Therefore, GCD of numbers 104, 540, 882 is 2
Given Input Data is 104, 540, 882
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 104 is 2 x 2 x 2 x 13
Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5
Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 104, 540, 882 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(104, 540) = 14040
GCD(104, 540) = ( 104 x 540 ) / 14040
GCD(104, 540) = 56160 / 14040
GCD(104, 540) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 882
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 882) = 1764
GCD(4, 882) = ( 4 x 882 ) / 1764
GCD(4, 882) = 3528 / 1764
GCD(4, 882) = 2
GCD of 104, 540, 882 is 2
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 104, 540, 882
1. What is the GCD of 104, 540, 882?
GCD of 104, 540, 882 is 2
2. Where do I get the detailed procedure to find GCD of 104, 540, 882?
You can find a detailed procedure to find GCD of 104, 540, 882 on our page.
3. How to find GCD of 104, 540, 882 on a calculator?
You can find the GCD of 104, 540, 882 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.