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 141, 981, 27, 212 i.e. 1 largest integer that divides all the numbers equally.
GCD of 141, 981, 27, 212 is 1
GCD(141, 981, 27, 212) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 141, 981, 27, 212 is 1
GCD(141, 981, 27, 212) = 1
Given Input numbers are 141, 981, 27, 212
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 141
List of positive integer divisors of 141 that divides 141 without a remainder.
1, 3, 47, 141
Divisors of 981
List of positive integer divisors of 981 that divides 981 without a remainder.
1, 3, 9, 109, 327, 981
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 212
List of positive integer divisors of 212 that divides 212 without a remainder.
1, 2, 4, 53, 106, 212
Greatest Common Divisior
We found the divisors of 141, 981, 27, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 141, 981, 27, 212 is 1.
Therefore, GCD of numbers 141, 981, 27, 212 is 1
Given Input Data is 141, 981, 27, 212
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 141 is 3 x 47
Prime Factorization of 981 is 3 x 3 x 109
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 212 is 2 x 2 x 53
The above numbers do not have any common prime factor. So GCD is 1
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(141, 981) = 46107
GCD(141, 981) = ( 141 x 981 ) / 46107
GCD(141, 981) = 138321 / 46107
GCD(141, 981) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 27) = 27
GCD(3, 27) = ( 3 x 27 ) / 27
GCD(3, 27) = 81 / 27
GCD(3, 27) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 212
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 212) = 636
GCD(3, 212) = ( 3 x 212 ) / 636
GCD(3, 212) = 636 / 636
GCD(3, 212) = 1
GCD of 141, 981, 27, 212 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 141, 981, 27, 212?
GCD of 141, 981, 27, 212 is 1
2. Where do I get the detailed procedure to find GCD of 141, 981, 27, 212?
You can find a detailed procedure to find GCD of 141, 981, 27, 212 on our page.
3. How to find GCD of 141, 981, 27, 212 on a calculator?
You can find the GCD of 141, 981, 27, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.