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 497, 614, 11, 997 i.e. 1 largest integer that divides all the numbers equally.
GCD of 497, 614, 11, 997 is 1
GCD(497, 614, 11, 997) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 497, 614, 11, 997 is 1
GCD(497, 614, 11, 997) = 1
Given Input numbers are 497, 614, 11, 997
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 497
List of positive integer divisors of 497 that divides 497 without a remainder.
1, 7, 71, 497
Divisors of 614
List of positive integer divisors of 614 that divides 614 without a remainder.
1, 2, 307, 614
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 997
List of positive integer divisors of 997 that divides 997 without a remainder.
1, 997
Greatest Common Divisior
We found the divisors of 497, 614, 11, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 614, 11, 997 is 1.
Therefore, GCD of numbers 497, 614, 11, 997 is 1
Given Input Data is 497, 614, 11, 997
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 497 is 7 x 71
Prime Factorization of 614 is 2 x 307
Prime Factorization of 11 is 11
Prime Factorization of 997 is 997
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(497, 614) = 305158
GCD(497, 614) = ( 497 x 614 ) / 305158
GCD(497, 614) = 305158 / 305158
GCD(497, 614) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 11) = 11
GCD(1, 11) = ( 1 x 11 ) / 11
GCD(1, 11) = 11 / 11
GCD(1, 11) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 997
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 997) = 997
GCD(1, 997) = ( 1 x 997 ) / 997
GCD(1, 997) = 997 / 997
GCD(1, 997) = 1
GCD of 497, 614, 11, 997 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 497, 614, 11, 997?
GCD of 497, 614, 11, 997 is 1
2. Where do I get the detailed procedure to find GCD of 497, 614, 11, 997?
You can find a detailed procedure to find GCD of 497, 614, 11, 997 on our page.
3. How to find GCD of 497, 614, 11, 997 on a calculator?
You can find the GCD of 497, 614, 11, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.