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 643, 384, 136, 184 i.e. 1 largest integer that divides all the numbers equally.
GCD of 643, 384, 136, 184 is 1
GCD(643, 384, 136, 184) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 643, 384, 136, 184 is 1
GCD(643, 384, 136, 184) = 1
Given Input numbers are 643, 384, 136, 184
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 643
List of positive integer divisors of 643 that divides 643 without a remainder.
1, 643
Divisors of 384
List of positive integer divisors of 384 that divides 384 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 184
List of positive integer divisors of 184 that divides 184 without a remainder.
1, 2, 4, 8, 23, 46, 92, 184
Greatest Common Divisior
We found the divisors of 643, 384, 136, 184 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 643, 384, 136, 184 is 1.
Therefore, GCD of numbers 643, 384, 136, 184 is 1
Given Input Data is 643, 384, 136, 184
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 643 is 643
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 136 is 2 x 2 x 2 x 17
Prime Factorization of 184 is 2 x 2 x 2 x 23
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(643, 384) = 246912
GCD(643, 384) = ( 643 x 384 ) / 246912
GCD(643, 384) = 246912 / 246912
GCD(643, 384) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 136
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 136) = 136
GCD(1, 136) = ( 1 x 136 ) / 136
GCD(1, 136) = 136 / 136
GCD(1, 136) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 184
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 184) = 184
GCD(1, 184) = ( 1 x 184 ) / 184
GCD(1, 184) = 184 / 184
GCD(1, 184) = 1
GCD of 643, 384, 136, 184 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 643, 384, 136, 184?
GCD of 643, 384, 136, 184 is 1
2. Where do I get the detailed procedure to find GCD of 643, 384, 136, 184?
You can find a detailed procedure to find GCD of 643, 384, 136, 184 on our page.
3. How to find GCD of 643, 384, 136, 184 on a calculator?
You can find the GCD of 643, 384, 136, 184 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.