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 663, 218, 91, 143 i.e. 1 largest integer that divides all the numbers equally.
GCD of 663, 218, 91, 143 is 1
GCD(663, 218, 91, 143) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 663, 218, 91, 143 is 1
GCD(663, 218, 91, 143) = 1
Given Input numbers are 663, 218, 91, 143
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 663
List of positive integer divisors of 663 that divides 663 without a remainder.
1, 3, 13, 17, 39, 51, 221, 663
Divisors of 218
List of positive integer divisors of 218 that divides 218 without a remainder.
1, 2, 109, 218
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Greatest Common Divisior
We found the divisors of 663, 218, 91, 143 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 663, 218, 91, 143 is 1.
Therefore, GCD of numbers 663, 218, 91, 143 is 1
Given Input Data is 663, 218, 91, 143
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 663 is 3 x 13 x 17
Prime Factorization of 218 is 2 x 109
Prime Factorization of 91 is 7 x 13
Prime Factorization of 143 is 11 x 13
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(663, 218) = 144534
GCD(663, 218) = ( 663 x 218 ) / 144534
GCD(663, 218) = 144534 / 144534
GCD(663, 218) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 91
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 91) = 91
GCD(1, 91) = ( 1 x 91 ) / 91
GCD(1, 91) = 91 / 91
GCD(1, 91) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 143
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 143) = 143
GCD(1, 143) = ( 1 x 143 ) / 143
GCD(1, 143) = 143 / 143
GCD(1, 143) = 1
GCD of 663, 218, 91, 143 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 663, 218, 91, 143?
GCD of 663, 218, 91, 143 is 1
2. Where do I get the detailed procedure to find GCD of 663, 218, 91, 143?
You can find a detailed procedure to find GCD of 663, 218, 91, 143 on our page.
3. How to find GCD of 663, 218, 91, 143 on a calculator?
You can find the GCD of 663, 218, 91, 143 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.