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 495, 218, 817, 802 i.e. 1 largest integer that divides all the numbers equally.
GCD of 495, 218, 817, 802 is 1
GCD(495, 218, 817, 802) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 495, 218, 817, 802 is 1
GCD(495, 218, 817, 802) = 1
Given Input numbers are 495, 218, 817, 802
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 495
List of positive integer divisors of 495 that divides 495 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Divisors of 218
List of positive integer divisors of 218 that divides 218 without a remainder.
1, 2, 109, 218
Divisors of 817
List of positive integer divisors of 817 that divides 817 without a remainder.
1, 19, 43, 817
Divisors of 802
List of positive integer divisors of 802 that divides 802 without a remainder.
1, 2, 401, 802
Greatest Common Divisior
We found the divisors of 495, 218, 817, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 495, 218, 817, 802 is 1.
Therefore, GCD of numbers 495, 218, 817, 802 is 1
Given Input Data is 495, 218, 817, 802
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 495 is 3 x 3 x 5 x 11
Prime Factorization of 218 is 2 x 109
Prime Factorization of 817 is 19 x 43
Prime Factorization of 802 is 2 x 401
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(495, 218) = 107910
GCD(495, 218) = ( 495 x 218 ) / 107910
GCD(495, 218) = 107910 / 107910
GCD(495, 218) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 817
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 817) = 817
GCD(1, 817) = ( 1 x 817 ) / 817
GCD(1, 817) = 817 / 817
GCD(1, 817) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 802
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 802) = 802
GCD(1, 802) = ( 1 x 802 ) / 802
GCD(1, 802) = 802 / 802
GCD(1, 802) = 1
GCD of 495, 218, 817, 802 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 495, 218, 817, 802?
GCD of 495, 218, 817, 802 is 1
2. Where do I get the detailed procedure to find GCD of 495, 218, 817, 802?
You can find a detailed procedure to find GCD of 495, 218, 817, 802 on our page.
3. How to find GCD of 495, 218, 817, 802 on a calculator?
You can find the GCD of 495, 218, 817, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.