GCD of 216, 994, 141 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 216, 994, 141 i.e. 1 largest integer that divides all the numbers equally.
GCD of 216, 994, 141 is 1
GCD(216, 994, 141) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 216, 994, 141 is 1
GCD(216, 994, 141) = 1
GCDof 216,994,141 is 1
Given Input numbers are 216, 994, 141
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 216
List of positive integer divisors of 216 that divides 216 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 994
List of positive integer divisors of 994 that divides 994 without a remainder.
1, 2, 7, 14, 71, 142, 497, 994
Divisors of 141
List of positive integer divisors of 141 that divides 141 without a remainder.
1, 3, 47, 141
Greatest Common Divisior
We found the divisors of 216, 994, 141 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 994, 141 is 1.
Therefore, GCD of numbers 216, 994, 141 is 1
Given Input Data is 216, 994, 141
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 994 is 2 x 7 x 71
Prime Factorization of 141 is 3 x 47
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 216, 994, 141 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(216, 994) = 107352
GCD(216, 994) = ( 216 x 994 ) / 107352
GCD(216, 994) = 214704 / 107352
GCD(216, 994) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 141
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 141) = 282
GCD(2, 141) = ( 2 x 141 ) / 282
GCD(2, 141) = 282 / 282
GCD(2, 141) = 1
GCD of 216, 994, 141 is 1
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 216, 994, 141
1. What is the GCD of 216, 994, 141?
GCD of 216, 994, 141 is 1
2. Where do I get the detailed procedure to find GCD of 216, 994, 141?
You can find a detailed procedure to find GCD of 216, 994, 141 on our page.
3. How to find GCD of 216, 994, 141 on a calculator?
You can find the GCD of 216, 994, 141 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.