GCD of 699, 780, 170 Calculator
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 699, 780, 170 i.e. 1 largest integer that divides all the numbers equally.
GCD of 699, 780, 170 is 1
GCD(699, 780, 170) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 699, 780, 170 is 1
GCD(699, 780, 170) = 1
GCDof 699,780,170 is 1
Given Input numbers are 699, 780, 170
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 699
List of positive integer divisors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Divisors of 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 170
List of positive integer divisors of 170 that divides 170 without a remainder.
1, 2, 5, 10, 17, 34, 85, 170
Greatest Common Divisior
We found the divisors of 699, 780, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 699, 780, 170 is 1.
Therefore, GCD of numbers 699, 780, 170 is 1
Given Input Data is 699, 780, 170
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 699 is 3 x 233
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
Prime Factorization of 170 is 2 x 5 x 17
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 699, 780, 170 using LCM Formula
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(699, 780) = 181740
GCD(699, 780) = ( 699 x 780 ) / 181740
GCD(699, 780) = 545220 / 181740
GCD(699, 780) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 170
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 170) = 510
GCD(3, 170) = ( 3 x 170 ) / 510
GCD(3, 170) = 510 / 510
GCD(3, 170) = 1
GCD of 699, 780, 170 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 699, 780, 170
1. What is the GCD of 699, 780, 170?
GCD of 699, 780, 170 is 1
2. Where do I get the detailed procedure to find GCD of 699, 780, 170?
You can find a detailed procedure to find GCD of 699, 780, 170 on our page.
3. How to find GCD of 699, 780, 170 on a calculator?
You can find the GCD of 699, 780, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.