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 170, 698, 110 i.e. 2 largest integer that divides all the numbers equally.
GCD of 170, 698, 110 is 2
GCD(170, 698, 110) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 170, 698, 110 is 2
GCD(170, 698, 110) = 2
Given Input numbers are 170, 698, 110
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 170
List of positive integer divisors of 170 that divides 170 without a remainder.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 698
List of positive integer divisors of 698 that divides 698 without a remainder.
1, 2, 349, 698
Divisors of 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
Greatest Common Divisior
We found the divisors of 170, 698, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 698, 110 is 2.
Therefore, GCD of numbers 170, 698, 110 is 2
Given Input Data is 170, 698, 110
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 170 is 2 x 5 x 17
Prime Factorization of 698 is 2 x 349
Prime Factorization of 110 is 2 x 5 x 11
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(170, 698) = 59330
GCD(170, 698) = ( 170 x 698 ) / 59330
GCD(170, 698) = 118660 / 59330
GCD(170, 698) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 110
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 110) = 110
GCD(2, 110) = ( 2 x 110 ) / 110
GCD(2, 110) = 220 / 110
GCD(2, 110) = 2
GCD of 170, 698, 110 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 170, 698, 110?
GCD of 170, 698, 110 is 2
2. Where do I get the detailed procedure to find GCD of 170, 698, 110?
You can find a detailed procedure to find GCD of 170, 698, 110 on our page.
3. How to find GCD of 170, 698, 110 on a calculator?
You can find the GCD of 170, 698, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.