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 289, 117, 203, 648 i.e. 1 largest integer that divides all the numbers equally.
GCD of 289, 117, 203, 648 is 1
GCD(289, 117, 203, 648) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 289, 117, 203, 648 is 1
GCD(289, 117, 203, 648) = 1
Given Input numbers are 289, 117, 203, 648
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 289
List of positive integer divisors of 289 that divides 289 without a remainder.
1, 17, 289
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Divisors of 203
List of positive integer divisors of 203 that divides 203 without a remainder.
1, 7, 29, 203
Divisors of 648
List of positive integer divisors of 648 that divides 648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Greatest Common Divisior
We found the divisors of 289, 117, 203, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 117, 203, 648 is 1.
Therefore, GCD of numbers 289, 117, 203, 648 is 1
Given Input Data is 289, 117, 203, 648
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 289 is 17 x 17
Prime Factorization of 117 is 3 x 3 x 13
Prime Factorization of 203 is 7 x 29
Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 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(289, 117) = 33813
GCD(289, 117) = ( 289 x 117 ) / 33813
GCD(289, 117) = 33813 / 33813
GCD(289, 117) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 203
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 203) = 203
GCD(1, 203) = ( 1 x 203 ) / 203
GCD(1, 203) = 203 / 203
GCD(1, 203) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 648
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 648) = 648
GCD(1, 648) = ( 1 x 648 ) / 648
GCD(1, 648) = 648 / 648
GCD(1, 648) = 1
GCD of 289, 117, 203, 648 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 289, 117, 203, 648?
GCD of 289, 117, 203, 648 is 1
2. Where do I get the detailed procedure to find GCD of 289, 117, 203, 648?
You can find a detailed procedure to find GCD of 289, 117, 203, 648 on our page.
3. How to find GCD of 289, 117, 203, 648 on a calculator?
You can find the GCD of 289, 117, 203, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.