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 332, 236, 33, 144 i.e. 1 largest integer that divides all the numbers equally.
GCD of 332, 236, 33, 144 is 1
GCD(332, 236, 33, 144) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 332, 236, 33, 144 is 1
GCD(332, 236, 33, 144) = 1
Given Input numbers are 332, 236, 33, 144
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 332
List of positive integer divisors of 332 that divides 332 without a remainder.
1, 2, 4, 83, 166, 332
Divisors of 236
List of positive integer divisors of 236 that divides 236 without a remainder.
1, 2, 4, 59, 118, 236
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Divisors of 144
List of positive integer divisors of 144 that divides 144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Greatest Common Divisior
We found the divisors of 332, 236, 33, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 332, 236, 33, 144 is 1.
Therefore, GCD of numbers 332, 236, 33, 144 is 1
Given Input Data is 332, 236, 33, 144
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 332 is 2 x 2 x 83
Prime Factorization of 236 is 2 x 2 x 59
Prime Factorization of 33 is 3 x 11
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
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(332, 236) = 19588
GCD(332, 236) = ( 332 x 236 ) / 19588
GCD(332, 236) = 78352 / 19588
GCD(332, 236) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 33
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 33) = 132
GCD(4, 33) = ( 4 x 33 ) / 132
GCD(4, 33) = 132 / 132
GCD(4, 33) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 144
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 144) = 144
GCD(1, 144) = ( 1 x 144 ) / 144
GCD(1, 144) = 144 / 144
GCD(1, 144) = 1
GCD of 332, 236, 33, 144 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 332, 236, 33, 144?
GCD of 332, 236, 33, 144 is 1
2. Where do I get the detailed procedure to find GCD of 332, 236, 33, 144?
You can find a detailed procedure to find GCD of 332, 236, 33, 144 on our page.
3. How to find GCD of 332, 236, 33, 144 on a calculator?
You can find the GCD of 332, 236, 33, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.