GCD of 285, 684, 186 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 285, 684, 186 i.e. 3 largest integer that divides all the numbers equally.
GCD of 285, 684, 186 is 3
GCD(285, 684, 186) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 285, 684, 186 is 3
GCD(285, 684, 186) = 3
GCDof 285,684,186 is 3
Given Input numbers are 285, 684, 186
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 285
List of positive integer divisors of 285 that divides 285 without a remainder.
1, 3, 5, 15, 19, 57, 95, 285
Divisors of 684
List of positive integer divisors of 684 that divides 684 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 186
List of positive integer divisors of 186 that divides 186 without a remainder.
1, 2, 3, 6, 31, 62, 93, 186
Greatest Common Divisior
We found the divisors of 285, 684, 186 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 285, 684, 186 is 3.
Therefore, GCD of numbers 285, 684, 186 is 3
Given Input Data is 285, 684, 186
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 285 is 3 x 5 x 19
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
Prime Factorization of 186 is 2 x 3 x 31
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 285, 684, 186 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(285, 684) = 3420
GCD(285, 684) = ( 285 x 684 ) / 3420
GCD(285, 684) = 194940 / 3420
GCD(285, 684) = 57
Step2:
Here we consider the GCD from the above i.e. 57 as first number and the next as 186
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(57, 186) = 3534
GCD(57, 186) = ( 57 x 186 ) / 3534
GCD(57, 186) = 10602 / 3534
GCD(57, 186) = 3
GCD of 285, 684, 186 is 3
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 285, 684, 186
1. What is the GCD of 285, 684, 186?
GCD of 285, 684, 186 is 3
2. Where do I get the detailed procedure to find GCD of 285, 684, 186?
You can find a detailed procedure to find GCD of 285, 684, 186 on our page.
3. How to find GCD of 285, 684, 186 on a calculator?
You can find the GCD of 285, 684, 186 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.