GCD of 872, 360, 86 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 872, 360, 86 i.e. 2 largest integer that divides all the numbers equally.
GCD of 872, 360, 86 is 2
GCD(872, 360, 86) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 872, 360, 86 is 2
GCD(872, 360, 86) = 2
GCDof 872,360,86 is 2
Given Input numbers are 872, 360, 86
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Greatest Common Divisior
We found the divisors of 872, 360, 86 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 872, 360, 86 is 2.
Therefore, GCD of numbers 872, 360, 86 is 2
Given Input Data is 872, 360, 86
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 872 is 2 x 2 x 2 x 109
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 86 is 2 x 43
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 872, 360, 86 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(872, 360) = 39240
GCD(872, 360) = ( 872 x 360 ) / 39240
GCD(872, 360) = 313920 / 39240
GCD(872, 360) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 86
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 86) = 344
GCD(8, 86) = ( 8 x 86 ) / 344
GCD(8, 86) = 688 / 344
GCD(8, 86) = 2
GCD of 872, 360, 86 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 872, 360, 86
1. What is the GCD of 872, 360, 86?
GCD of 872, 360, 86 is 2
2. Where do I get the detailed procedure to find GCD of 872, 360, 86?
You can find a detailed procedure to find GCD of 872, 360, 86 on our page.
3. How to find GCD of 872, 360, 86 on a calculator?
You can find the GCD of 872, 360, 86 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
