GCD of 162, 360, 718 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 162, 360, 718 i.e. 2 largest integer that divides all the numbers equally.
GCD of 162, 360, 718 is 2
GCD(162, 360, 718) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 162, 360, 718 is 2
GCD(162, 360, 718) = 2
GCDof 162,360,718 is 2
Given Input numbers are 162, 360, 718
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 162
List of positive integer divisors of 162 that divides 162 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
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 718
List of positive integer divisors of 718 that divides 718 without a remainder.
1, 2, 359, 718
Greatest Common Divisior
We found the divisors of 162, 360, 718 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 360, 718 is 2.
Therefore, GCD of numbers 162, 360, 718 is 2
Given Input Data is 162, 360, 718
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 718 is 2 x 359
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 162, 360, 718 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(162, 360) = 3240
GCD(162, 360) = ( 162 x 360 ) / 3240
GCD(162, 360) = 58320 / 3240
GCD(162, 360) = 18
Step2:
Here we consider the GCD from the above i.e. 18 as first number and the next as 718
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(18, 718) = 6462
GCD(18, 718) = ( 18 x 718 ) / 6462
GCD(18, 718) = 12924 / 6462
GCD(18, 718) = 2
GCD of 162, 360, 718 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 162, 360, 718
1. What is the GCD of 162, 360, 718?
GCD of 162, 360, 718 is 2
2. Where do I get the detailed procedure to find GCD of 162, 360, 718?
You can find a detailed procedure to find GCD of 162, 360, 718 on our page.
3. How to find GCD of 162, 360, 718 on a calculator?
You can find the GCD of 162, 360, 718 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.