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 114, 163, 718, 669 i.e. 1 largest integer that divides all the numbers equally.
GCD of 114, 163, 718, 669 is 1
GCD(114, 163, 718, 669) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 114, 163, 718, 669 is 1
GCD(114, 163, 718, 669) = 1
Given Input numbers are 114, 163, 718, 669
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 114
List of positive integer divisors of 114 that divides 114 without a remainder.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 163
List of positive integer divisors of 163 that divides 163 without a remainder.
1, 163
Divisors of 718
List of positive integer divisors of 718 that divides 718 without a remainder.
1, 2, 359, 718
Divisors of 669
List of positive integer divisors of 669 that divides 669 without a remainder.
1, 3, 223, 669
Greatest Common Divisior
We found the divisors of 114, 163, 718, 669 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 163, 718, 669 is 1.
Therefore, GCD of numbers 114, 163, 718, 669 is 1
Given Input Data is 114, 163, 718, 669
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 114 is 2 x 3 x 19
Prime Factorization of 163 is 163
Prime Factorization of 718 is 2 x 359
Prime Factorization of 669 is 3 x 223
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(114, 163) = 18582
GCD(114, 163) = ( 114 x 163 ) / 18582
GCD(114, 163) = 18582 / 18582
GCD(114, 163) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 718
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 718) = 718
GCD(1, 718) = ( 1 x 718 ) / 718
GCD(1, 718) = 718 / 718
GCD(1, 718) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 669
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 669) = 669
GCD(1, 669) = ( 1 x 669 ) / 669
GCD(1, 669) = 669 / 669
GCD(1, 669) = 1
GCD of 114, 163, 718, 669 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 114, 163, 718, 669?
GCD of 114, 163, 718, 669 is 1
2. Where do I get the detailed procedure to find GCD of 114, 163, 718, 669?
You can find a detailed procedure to find GCD of 114, 163, 718, 669 on our page.
3. How to find GCD of 114, 163, 718, 669 on a calculator?
You can find the GCD of 114, 163, 718, 669 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.