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 356, 750, 810, 717 i.e. 1 largest integer that divides all the numbers equally.
GCD of 356, 750, 810, 717 is 1
GCD(356, 750, 810, 717) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 356, 750, 810, 717 is 1
GCD(356, 750, 810, 717) = 1
Given Input numbers are 356, 750, 810, 717
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 356
List of positive integer divisors of 356 that divides 356 without a remainder.
1, 2, 4, 89, 178, 356
Divisors of 750
List of positive integer divisors of 750 that divides 750 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
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 717
List of positive integer divisors of 717 that divides 717 without a remainder.
1, 3, 239, 717
Greatest Common Divisior
We found the divisors of 356, 750, 810, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 750, 810, 717 is 1.
Therefore, GCD of numbers 356, 750, 810, 717 is 1
Given Input Data is 356, 750, 810, 717
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 356 is 2 x 2 x 89
Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5
Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5
Prime Factorization of 717 is 3 x 239
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(356, 750) = 133500
GCD(356, 750) = ( 356 x 750 ) / 133500
GCD(356, 750) = 267000 / 133500
GCD(356, 750) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 810
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 810) = 810
GCD(2, 810) = ( 2 x 810 ) / 810
GCD(2, 810) = 1620 / 810
GCD(2, 810) = 2
Step3:
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
GCD of 356, 750, 810, 717 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 356, 750, 810, 717?
GCD of 356, 750, 810, 717 is 1
2. Where do I get the detailed procedure to find GCD of 356, 750, 810, 717?
You can find a detailed procedure to find GCD of 356, 750, 810, 717 on our page.
3. How to find GCD of 356, 750, 810, 717 on a calculator?
You can find the GCD of 356, 750, 810, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.