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 144, 641, 47, 336 i.e. 1 largest integer that divides all the numbers equally.
GCD of 144, 641, 47, 336 is 1
GCD(144, 641, 47, 336) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 144, 641, 47, 336 is 1
GCD(144, 641, 47, 336) = 1
Given Input numbers are 144, 641, 47, 336
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 641
List of positive integer divisors of 641 that divides 641 without a remainder.
1, 641
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 336
List of positive integer divisors of 336 that divides 336 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Greatest Common Divisior
We found the divisors of 144, 641, 47, 336 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 641, 47, 336 is 1.
Therefore, GCD of numbers 144, 641, 47, 336 is 1
Given Input Data is 144, 641, 47, 336
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 641 is 641
Prime Factorization of 47 is 47
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7
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(144, 641) = 92304
GCD(144, 641) = ( 144 x 641 ) / 92304
GCD(144, 641) = 92304 / 92304
GCD(144, 641) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 47) = 47
GCD(1, 47) = ( 1 x 47 ) / 47
GCD(1, 47) = 47 / 47
GCD(1, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 336
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 336) = 336
GCD(1, 336) = ( 1 x 336 ) / 336
GCD(1, 336) = 336 / 336
GCD(1, 336) = 1
GCD of 144, 641, 47, 336 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 144, 641, 47, 336?
GCD of 144, 641, 47, 336 is 1
2. Where do I get the detailed procedure to find GCD of 144, 641, 47, 336?
You can find a detailed procedure to find GCD of 144, 641, 47, 336 on our page.
3. How to find GCD of 144, 641, 47, 336 on a calculator?
You can find the GCD of 144, 641, 47, 336 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.