GCD of 172, 870, 389 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 172, 870, 389 i.e. 1 largest integer that divides all the numbers equally.
GCD of 172, 870, 389 is 1
GCD(172, 870, 389) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 172, 870, 389 is 1
GCD(172, 870, 389) = 1
GCDof 172,870,389 is 1
Given Input numbers are 172, 870, 389
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 172
List of positive integer divisors of 172 that divides 172 without a remainder.
1, 2, 4, 43, 86, 172
Divisors of 870
List of positive integer divisors of 870 that divides 870 without a remainder.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 389
List of positive integer divisors of 389 that divides 389 without a remainder.
1, 389
Greatest Common Divisior
We found the divisors of 172, 870, 389 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 870, 389 is 1.
Therefore, GCD of numbers 172, 870, 389 is 1
Given Input Data is 172, 870, 389
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 172 is 2 x 2 x 43
Prime Factorization of 870 is 2 x 3 x 5 x 29
Prime Factorization of 389 is 389
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 172, 870, 389 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(172, 870) = 74820
GCD(172, 870) = ( 172 x 870 ) / 74820
GCD(172, 870) = 149640 / 74820
GCD(172, 870) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 389
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 389) = 778
GCD(2, 389) = ( 2 x 389 ) / 778
GCD(2, 389) = 778 / 778
GCD(2, 389) = 1
GCD of 172, 870, 389 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 172, 870, 389
1. What is the GCD of 172, 870, 389?
GCD of 172, 870, 389 is 1
2. Where do I get the detailed procedure to find GCD of 172, 870, 389?
You can find a detailed procedure to find GCD of 172, 870, 389 on our page.
3. How to find GCD of 172, 870, 389 on a calculator?
You can find the GCD of 172, 870, 389 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
