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, 645, 51, 163 i.e. 1 largest integer that divides all the numbers equally.
GCD of 144, 645, 51, 163 is 1
GCD(144, 645, 51, 163) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 144, 645, 51, 163 is 1
GCD(144, 645, 51, 163) = 1
Given Input numbers are 144, 645, 51, 163
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 645
List of positive integer divisors of 645 that divides 645 without a remainder.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 163
List of positive integer divisors of 163 that divides 163 without a remainder.
1, 163
Greatest Common Divisior
We found the divisors of 144, 645, 51, 163 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 645, 51, 163 is 1.
Therefore, GCD of numbers 144, 645, 51, 163 is 1
Given Input Data is 144, 645, 51, 163
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 645 is 3 x 5 x 43
Prime Factorization of 51 is 3 x 17
Prime Factorization of 163 is 163
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, 645) = 30960
GCD(144, 645) = ( 144 x 645 ) / 30960
GCD(144, 645) = 92880 / 30960
GCD(144, 645) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 51) = 51
GCD(3, 51) = ( 3 x 51 ) / 51
GCD(3, 51) = 153 / 51
GCD(3, 51) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 163
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 163) = 489
GCD(3, 163) = ( 3 x 163 ) / 489
GCD(3, 163) = 489 / 489
GCD(3, 163) = 1
GCD of 144, 645, 51, 163 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 144, 645, 51, 163?
GCD of 144, 645, 51, 163 is 1
2. Where do I get the detailed procedure to find GCD of 144, 645, 51, 163?
You can find a detailed procedure to find GCD of 144, 645, 51, 163 on our page.
3. How to find GCD of 144, 645, 51, 163 on a calculator?
You can find the GCD of 144, 645, 51, 163 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.