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 810, 117, 717, 672 i.e. 3 largest integer that divides all the numbers equally.
GCD of 810, 117, 717, 672 is 3
GCD(810, 117, 717, 672) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 810, 117, 717, 672 is 3
GCD(810, 117, 717, 672) = 3
Given Input numbers are 810, 117, 717, 672
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 810
List of positive integer divisors of 810 that divides 810 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Divisors of 717
List of positive integer divisors of 717 that divides 717 without a remainder.
1, 3, 239, 717
Divisors of 672
List of positive integer divisors of 672 that divides 672 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
Greatest Common Divisior
We found the divisors of 810, 117, 717, 672 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 810, 117, 717, 672 is 3.
Therefore, GCD of numbers 810, 117, 717, 672 is 3
Given Input Data is 810, 117, 717, 672
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5
Prime Factorization of 117 is 3 x 3 x 13
Prime Factorization of 717 is 3 x 239
Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(810, 117) = 10530
GCD(810, 117) = ( 810 x 117 ) / 10530
GCD(810, 117) = 94770 / 10530
GCD(810, 117) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 717
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 717) = 2151
GCD(9, 717) = ( 9 x 717 ) / 2151
GCD(9, 717) = 6453 / 2151
GCD(9, 717) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 672
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 672) = 672
GCD(3, 672) = ( 3 x 672 ) / 672
GCD(3, 672) = 2016 / 672
GCD(3, 672) = 3
GCD of 810, 117, 717, 672 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 810, 117, 717, 672?
GCD of 810, 117, 717, 672 is 3
2. Where do I get the detailed procedure to find GCD of 810, 117, 717, 672?
You can find a detailed procedure to find GCD of 810, 117, 717, 672 on our page.
3. How to find GCD of 810, 117, 717, 672 on a calculator?
You can find the GCD of 810, 117, 717, 672 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.