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 746, 500, 717, 665 i.e. 1 largest integer that divides all the numbers equally.
GCD of 746, 500, 717, 665 is 1
GCD(746, 500, 717, 665) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 746, 500, 717, 665 is 1
GCD(746, 500, 717, 665) = 1
Given Input numbers are 746, 500, 717, 665
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 746
List of positive integer divisors of 746 that divides 746 without a remainder.
1, 2, 373, 746
Divisors of 500
List of positive integer divisors of 500 that divides 500 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 717
List of positive integer divisors of 717 that divides 717 without a remainder.
1, 3, 239, 717
Divisors of 665
List of positive integer divisors of 665 that divides 665 without a remainder.
1, 5, 7, 19, 35, 95, 133, 665
Greatest Common Divisior
We found the divisors of 746, 500, 717, 665 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 746, 500, 717, 665 is 1.
Therefore, GCD of numbers 746, 500, 717, 665 is 1
Given Input Data is 746, 500, 717, 665
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 746 is 2 x 373
Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5
Prime Factorization of 717 is 3 x 239
Prime Factorization of 665 is 5 x 7 x 19
The above numbers do not have any common prime factor. So GCD is 1
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(746, 500) = 186500
GCD(746, 500) = ( 746 x 500 ) / 186500
GCD(746, 500) = 373000 / 186500
GCD(746, 500) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 717
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 717) = 1434
GCD(2, 717) = ( 2 x 717 ) / 1434
GCD(2, 717) = 1434 / 1434
GCD(2, 717) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 665
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 665) = 665
GCD(1, 665) = ( 1 x 665 ) / 665
GCD(1, 665) = 665 / 665
GCD(1, 665) = 1
GCD of 746, 500, 717, 665 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 746, 500, 717, 665?
GCD of 746, 500, 717, 665 is 1
2. Where do I get the detailed procedure to find GCD of 746, 500, 717, 665?
You can find a detailed procedure to find GCD of 746, 500, 717, 665 on our page.
3. How to find GCD of 746, 500, 717, 665 on a calculator?
You can find the GCD of 746, 500, 717, 665 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.