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 290, 216, 46, 797 i.e. 1 largest integer that divides all the numbers equally.
GCD of 290, 216, 46, 797 is 1
GCD(290, 216, 46, 797) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 290, 216, 46, 797 is 1
GCD(290, 216, 46, 797) = 1
Given Input numbers are 290, 216, 46, 797
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 290
List of positive integer divisors of 290 that divides 290 without a remainder.
1, 2, 5, 10, 29, 58, 145, 290
Divisors of 216
List of positive integer divisors of 216 that divides 216 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 797
List of positive integer divisors of 797 that divides 797 without a remainder.
1, 797
Greatest Common Divisior
We found the divisors of 290, 216, 46, 797 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 290, 216, 46, 797 is 1.
Therefore, GCD of numbers 290, 216, 46, 797 is 1
Given Input Data is 290, 216, 46, 797
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 290 is 2 x 5 x 29
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 46 is 2 x 23
Prime Factorization of 797 is 797
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(290, 216) = 31320
GCD(290, 216) = ( 290 x 216 ) / 31320
GCD(290, 216) = 62640 / 31320
GCD(290, 216) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 46
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 46) = 46
GCD(2, 46) = ( 2 x 46 ) / 46
GCD(2, 46) = 92 / 46
GCD(2, 46) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 797
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 797) = 1594
GCD(2, 797) = ( 2 x 797 ) / 1594
GCD(2, 797) = 1594 / 1594
GCD(2, 797) = 1
GCD of 290, 216, 46, 797 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 290, 216, 46, 797?
GCD of 290, 216, 46, 797 is 1
2. Where do I get the detailed procedure to find GCD of 290, 216, 46, 797?
You can find a detailed procedure to find GCD of 290, 216, 46, 797 on our page.
3. How to find GCD of 290, 216, 46, 797 on a calculator?
You can find the GCD of 290, 216, 46, 797 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.