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, 917, 533, 441 i.e. 1 largest integer that divides all the numbers equally.
GCD of 497, 917, 533, 441 is 1
GCD(497, 917, 533, 441) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 497, 917, 533, 441 is 1
GCD(497, 917, 533, 441) = 1
Given Input numbers are 497, 917, 533, 441
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 917
List of positive integer divisors of 917 that divides 917 without a remainder.
1, 7, 131, 917
Divisors of 533
List of positive integer divisors of 533 that divides 533 without a remainder.
1, 13, 41, 533
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 497, 917, 533, 441 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 917, 533, 441 is 1.
Therefore, GCD of numbers 497, 917, 533, 441 is 1
Given Input Data is 497, 917, 533, 441
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 497 is 7 x 71
Prime Factorization of 917 is 7 x 131
Prime Factorization of 533 is 13 x 41
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(497, 917) = 65107
GCD(497, 917) = ( 497 x 917 ) / 65107
GCD(497, 917) = 455749 / 65107
GCD(497, 917) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 533
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 533) = 3731
GCD(7, 533) = ( 7 x 533 ) / 3731
GCD(7, 533) = 3731 / 3731
GCD(7, 533) = 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 497, 917, 533, 441 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 497, 917, 533, 441?
GCD of 497, 917, 533, 441 is 1
2. Where do I get the detailed procedure to find GCD of 497, 917, 533, 441?
You can find a detailed procedure to find GCD of 497, 917, 533, 441 on our page.
3. How to find GCD of 497, 917, 533, 441 on a calculator?
You can find the GCD of 497, 917, 533, 441 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.