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, 374, 92, 164 i.e. 1 largest integer that divides all the numbers equally.
GCD of 663, 374, 92, 164 is 1
GCD(663, 374, 92, 164) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 663, 374, 92, 164 is 1
GCD(663, 374, 92, 164) = 1
Given Input numbers are 663, 374, 92, 164
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 374
List of positive integer divisors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 92
List of positive integer divisors of 92 that divides 92 without a remainder.
1, 2, 4, 23, 46, 92
Divisors of 164
List of positive integer divisors of 164 that divides 164 without a remainder.
1, 2, 4, 41, 82, 164
Greatest Common Divisior
We found the divisors of 663, 374, 92, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 663, 374, 92, 164 is 1.
Therefore, GCD of numbers 663, 374, 92, 164 is 1
Given Input Data is 663, 374, 92, 164
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 374 is 2 x 11 x 17
Prime Factorization of 92 is 2 x 2 x 23
Prime Factorization of 164 is 2 x 2 x 41
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, 374) = 14586
GCD(663, 374) = ( 663 x 374 ) / 14586
GCD(663, 374) = 247962 / 14586
GCD(663, 374) = 17
Step2:
Here we consider the GCD from the above i.e. 17 as first number and the next as 92
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(17, 92) = 1564
GCD(17, 92) = ( 17 x 92 ) / 1564
GCD(17, 92) = 1564 / 1564
GCD(17, 92) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 164
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 164) = 164
GCD(1, 164) = ( 1 x 164 ) / 164
GCD(1, 164) = 164 / 164
GCD(1, 164) = 1
GCD of 663, 374, 92, 164 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 663, 374, 92, 164?
GCD of 663, 374, 92, 164 is 1
2. Where do I get the detailed procedure to find GCD of 663, 374, 92, 164?
You can find a detailed procedure to find GCD of 663, 374, 92, 164 on our page.
3. How to find GCD of 663, 374, 92, 164 on a calculator?
You can find the GCD of 663, 374, 92, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.