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 717, 603, 702 i.e. 3 largest integer that divides all the numbers equally.
GCD of 717, 603, 702 is 3
GCD(717, 603, 702) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 717, 603, 702 is 3
GCD(717, 603, 702) = 3
Given Input numbers are 717, 603, 702
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 717
List of positive integer divisors of 717 that divides 717 without a remainder.
1, 3, 239, 717
Divisors of 603
List of positive integer divisors of 603 that divides 603 without a remainder.
1, 3, 9, 67, 201, 603
Divisors of 702
List of positive integer divisors of 702 that divides 702 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Greatest Common Divisior
We found the divisors of 717, 603, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 717, 603, 702 is 3.
Therefore, GCD of numbers 717, 603, 702 is 3
Given Input Data is 717, 603, 702
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 717 is 3 x 239
Prime Factorization of 603 is 3 x 3 x 67
Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13
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(717, 603) = 144117
GCD(717, 603) = ( 717 x 603 ) / 144117
GCD(717, 603) = 432351 / 144117
GCD(717, 603) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 702
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 702) = 702
GCD(3, 702) = ( 3 x 702 ) / 702
GCD(3, 702) = 2106 / 702
GCD(3, 702) = 3
GCD of 717, 603, 702 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 717, 603, 702?
GCD of 717, 603, 702 is 3
2. Where do I get the detailed procedure to find GCD of 717, 603, 702?
You can find a detailed procedure to find GCD of 717, 603, 702 on our page.
3. How to find GCD of 717, 603, 702 on a calculator?
You can find the GCD of 717, 603, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.