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 897, 573, 24, 490 i.e. 1 largest integer that divides all the numbers equally.
GCD of 897, 573, 24, 490 is 1
GCD(897, 573, 24, 490) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 897, 573, 24, 490 is 1
GCD(897, 573, 24, 490) = 1
Given Input numbers are 897, 573, 24, 490
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 897
List of positive integer divisors of 897 that divides 897 without a remainder.
1, 3, 13, 23, 39, 69, 299, 897
Divisors of 573
List of positive integer divisors of 573 that divides 573 without a remainder.
1, 3, 191, 573
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 490
List of positive integer divisors of 490 that divides 490 without a remainder.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Greatest Common Divisior
We found the divisors of 897, 573, 24, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 897, 573, 24, 490 is 1.
Therefore, GCD of numbers 897, 573, 24, 490 is 1
Given Input Data is 897, 573, 24, 490
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 897 is 3 x 13 x 23
Prime Factorization of 573 is 3 x 191
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 490 is 2 x 5 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(897, 573) = 171327
GCD(897, 573) = ( 897 x 573 ) / 171327
GCD(897, 573) = 513981 / 171327
GCD(897, 573) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 24) = 24
GCD(3, 24) = ( 3 x 24 ) / 24
GCD(3, 24) = 72 / 24
GCD(3, 24) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 490
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 490) = 1470
GCD(3, 490) = ( 3 x 490 ) / 1470
GCD(3, 490) = 1470 / 1470
GCD(3, 490) = 1
GCD of 897, 573, 24, 490 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 897, 573, 24, 490?
GCD of 897, 573, 24, 490 is 1
2. Where do I get the detailed procedure to find GCD of 897, 573, 24, 490?
You can find a detailed procedure to find GCD of 897, 573, 24, 490 on our page.
3. How to find GCD of 897, 573, 24, 490 on a calculator?
You can find the GCD of 897, 573, 24, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.