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 17, 207, 887, 490 i.e. 1 largest integer that divides all the numbers equally.
GCD of 17, 207, 887, 490 is 1
GCD(17, 207, 887, 490) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 17, 207, 887, 490 is 1
GCD(17, 207, 887, 490) = 1
Given Input numbers are 17, 207, 887, 490
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 207
List of positive integer divisors of 207 that divides 207 without a remainder.
1, 3, 9, 23, 69, 207
Divisors of 887
List of positive integer divisors of 887 that divides 887 without a remainder.
1, 887
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 17, 207, 887, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 207, 887, 490 is 1.
Therefore, GCD of numbers 17, 207, 887, 490 is 1
Given Input Data is 17, 207, 887, 490
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 17 is 17
Prime Factorization of 207 is 3 x 3 x 23
Prime Factorization of 887 is 887
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(17, 207) = 3519
GCD(17, 207) = ( 17 x 207 ) / 3519
GCD(17, 207) = 3519 / 3519
GCD(17, 207) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 887
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 887) = 887
GCD(1, 887) = ( 1 x 887 ) / 887
GCD(1, 887) = 887 / 887
GCD(1, 887) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 490
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 490) = 490
GCD(1, 490) = ( 1 x 490 ) / 490
GCD(1, 490) = 490 / 490
GCD(1, 490) = 1
GCD of 17, 207, 887, 490 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 17, 207, 887, 490?
GCD of 17, 207, 887, 490 is 1
2. Where do I get the detailed procedure to find GCD of 17, 207, 887, 490?
You can find a detailed procedure to find GCD of 17, 207, 887, 490 on our page.
3. How to find GCD of 17, 207, 887, 490 on a calculator?
You can find the GCD of 17, 207, 887, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.