GCD of 720, 645, 710 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 720, 645, 710 i.e. 5 largest integer that divides all the numbers equally.
GCD of 720, 645, 710 is 5
GCD(720, 645, 710) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 720, 645, 710 is 5
GCD(720, 645, 710) = 5
GCDof 720,645,710 is 5
Given Input numbers are 720, 645, 710
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 645
List of positive integer divisors of 645 that divides 645 without a remainder.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 710
List of positive integer divisors of 710 that divides 710 without a remainder.
1, 2, 5, 10, 71, 142, 355, 710
Greatest Common Divisior
We found the divisors of 720, 645, 710 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 645, 710 is 5.
Therefore, GCD of numbers 720, 645, 710 is 5
Given Input Data is 720, 645, 710
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 645 is 3 x 5 x 43
Prime Factorization of 710 is 2 x 5 x 71
Highest common occurrences in the given inputs are 51
Multiplying them we get the GCD as 5
Finding GCD of 720, 645, 710 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(720, 645) = 30960
GCD(720, 645) = ( 720 x 645 ) / 30960
GCD(720, 645) = 464400 / 30960
GCD(720, 645) = 15
Step2:
Here we consider the GCD from the above i.e. 15 as first number and the next as 710
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(15, 710) = 2130
GCD(15, 710) = ( 15 x 710 ) / 2130
GCD(15, 710) = 10650 / 2130
GCD(15, 710) = 5
GCD of 720, 645, 710 is 5
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 720, 645, 710
1. What is the GCD of 720, 645, 710?
GCD of 720, 645, 710 is 5
2. Where do I get the detailed procedure to find GCD of 720, 645, 710?
You can find a detailed procedure to find GCD of 720, 645, 710 on our page.
3. How to find GCD of 720, 645, 710 on a calculator?
You can find the GCD of 720, 645, 710 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.