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 898, 210, 16, 617 i.e. 1 largest integer that divides all the numbers equally.
GCD of 898, 210, 16, 617 is 1
GCD(898, 210, 16, 617) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 898, 210, 16, 617 is 1
GCD(898, 210, 16, 617) = 1
Given Input numbers are 898, 210, 16, 617
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 898
List of positive integer divisors of 898 that divides 898 without a remainder.
1, 2, 449, 898
Divisors of 210
List of positive integer divisors of 210 that divides 210 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 617
List of positive integer divisors of 617 that divides 617 without a remainder.
1, 617
Greatest Common Divisior
We found the divisors of 898, 210, 16, 617 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 898, 210, 16, 617 is 1.
Therefore, GCD of numbers 898, 210, 16, 617 is 1
Given Input Data is 898, 210, 16, 617
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 898 is 2 x 449
Prime Factorization of 210 is 2 x 3 x 5 x 7
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 617 is 617
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(898, 210) = 94290
GCD(898, 210) = ( 898 x 210 ) / 94290
GCD(898, 210) = 188580 / 94290
GCD(898, 210) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 16
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 16) = 16
GCD(2, 16) = ( 2 x 16 ) / 16
GCD(2, 16) = 32 / 16
GCD(2, 16) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 617
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 617) = 1234
GCD(2, 617) = ( 2 x 617 ) / 1234
GCD(2, 617) = 1234 / 1234
GCD(2, 617) = 1
GCD of 898, 210, 16, 617 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 898, 210, 16, 617?
GCD of 898, 210, 16, 617 is 1
2. Where do I get the detailed procedure to find GCD of 898, 210, 16, 617?
You can find a detailed procedure to find GCD of 898, 210, 16, 617 on our page.
3. How to find GCD of 898, 210, 16, 617 on a calculator?
You can find the GCD of 898, 210, 16, 617 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.