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 147, 327, 132, 996 i.e. 3 largest integer that divides all the numbers equally.
GCD of 147, 327, 132, 996 is 3
GCD(147, 327, 132, 996) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 147, 327, 132, 996 is 3
GCD(147, 327, 132, 996) = 3
Given Input numbers are 147, 327, 132, 996
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 147
List of positive integer divisors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
Divisors of 327
List of positive integer divisors of 327 that divides 327 without a remainder.
1, 3, 109, 327
Divisors of 132
List of positive integer divisors of 132 that divides 132 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 996
List of positive integer divisors of 996 that divides 996 without a remainder.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Greatest Common Divisior
We found the divisors of 147, 327, 132, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 327, 132, 996 is 3.
Therefore, GCD of numbers 147, 327, 132, 996 is 3
Given Input Data is 147, 327, 132, 996
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 147 is 3 x 7 x 7
Prime Factorization of 327 is 3 x 109
Prime Factorization of 132 is 2 x 2 x 3 x 11
Prime Factorization of 996 is 2 x 2 x 3 x 83
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(147, 327) = 16023
GCD(147, 327) = ( 147 x 327 ) / 16023
GCD(147, 327) = 48069 / 16023
GCD(147, 327) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 132
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 132) = 132
GCD(3, 132) = ( 3 x 132 ) / 132
GCD(3, 132) = 396 / 132
GCD(3, 132) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 996
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 996) = 996
GCD(3, 996) = ( 3 x 996 ) / 996
GCD(3, 996) = 2988 / 996
GCD(3, 996) = 3
GCD of 147, 327, 132, 996 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 147, 327, 132, 996?
GCD of 147, 327, 132, 996 is 3
2. Where do I get the detailed procedure to find GCD of 147, 327, 132, 996?
You can find a detailed procedure to find GCD of 147, 327, 132, 996 on our page.
3. How to find GCD of 147, 327, 132, 996 on a calculator?
You can find the GCD of 147, 327, 132, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.