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 901, 898, 17, 608 i.e. 1 largest integer that divides all the numbers equally.
GCD of 901, 898, 17, 608 is 1
GCD(901, 898, 17, 608) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 901, 898, 17, 608 is 1
GCD(901, 898, 17, 608) = 1
Given Input numbers are 901, 898, 17, 608
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Divisors of 898
List of positive integer divisors of 898 that divides 898 without a remainder.
1, 2, 449, 898
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 608
List of positive integer divisors of 608 that divides 608 without a remainder.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
Greatest Common Divisior
We found the divisors of 901, 898, 17, 608 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 901, 898, 17, 608 is 1.
Therefore, GCD of numbers 901, 898, 17, 608 is 1
Given Input Data is 901, 898, 17, 608
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 901 is 17 x 53
Prime Factorization of 898 is 2 x 449
Prime Factorization of 17 is 17
Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19
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(901, 898) = 809098
GCD(901, 898) = ( 901 x 898 ) / 809098
GCD(901, 898) = 809098 / 809098
GCD(901, 898) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 17) = 17
GCD(1, 17) = ( 1 x 17 ) / 17
GCD(1, 17) = 17 / 17
GCD(1, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 608
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 608) = 608
GCD(1, 608) = ( 1 x 608 ) / 608
GCD(1, 608) = 608 / 608
GCD(1, 608) = 1
GCD of 901, 898, 17, 608 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 901, 898, 17, 608?
GCD of 901, 898, 17, 608 is 1
2. Where do I get the detailed procedure to find GCD of 901, 898, 17, 608?
You can find a detailed procedure to find GCD of 901, 898, 17, 608 on our page.
3. How to find GCD of 901, 898, 17, 608 on a calculator?
You can find the GCD of 901, 898, 17, 608 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.