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 997, 497, 92, 441 i.e. 1 largest integer that divides all the numbers equally.
GCD of 997, 497, 92, 441 is 1
GCD(997, 497, 92, 441) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 997, 497, 92, 441 is 1
GCD(997, 497, 92, 441) = 1
Given Input numbers are 997, 497, 92, 441
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 997
List of positive integer divisors of 997 that divides 997 without a remainder.
1, 997
Divisors of 497
List of positive integer divisors of 497 that divides 497 without a remainder.
1, 7, 71, 497
Divisors of 92
List of positive integer divisors of 92 that divides 92 without a remainder.
1, 2, 4, 23, 46, 92
Divisors of 441
List of positive integer divisors of 441 that divides 441 without a remainder.
1, 3, 7, 9, 21, 49, 63, 147, 441
Greatest Common Divisior
We found the divisors of 997, 497, 92, 441 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 997, 497, 92, 441 is 1.
Therefore, GCD of numbers 997, 497, 92, 441 is 1
Given Input Data is 997, 497, 92, 441
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 997 is 997
Prime Factorization of 497 is 7 x 71
Prime Factorization of 92 is 2 x 2 x 23
Prime Factorization of 441 is 3 x 3 x 7 x 7
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(997, 497) = 495509
GCD(997, 497) = ( 997 x 497 ) / 495509
GCD(997, 497) = 495509 / 495509
GCD(997, 497) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 92
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 92) = 92
GCD(1, 92) = ( 1 x 92 ) / 92
GCD(1, 92) = 92 / 92
GCD(1, 92) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 441
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 441) = 441
GCD(1, 441) = ( 1 x 441 ) / 441
GCD(1, 441) = 441 / 441
GCD(1, 441) = 1
GCD of 997, 497, 92, 441 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 997, 497, 92, 441?
GCD of 997, 497, 92, 441 is 1
2. Where do I get the detailed procedure to find GCD of 997, 497, 92, 441?
You can find a detailed procedure to find GCD of 997, 497, 92, 441 on our page.
3. How to find GCD of 997, 497, 92, 441 on a calculator?
You can find the GCD of 997, 497, 92, 441 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.