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, 430, 520, 763 i.e. 1 largest integer that divides all the numbers equally.
GCD of 810, 430, 520, 763 is 1
GCD(810, 430, 520, 763) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 810, 430, 520, 763 is 1
GCD(810, 430, 520, 763) = 1
Given Input numbers are 810, 430, 520, 763
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 430
List of positive integer divisors of 430 that divides 430 without a remainder.
1, 2, 5, 10, 43, 86, 215, 430
Divisors of 520
List of positive integer divisors of 520 that divides 520 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Greatest Common Divisior
We found the divisors of 810, 430, 520, 763 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 810, 430, 520, 763 is 1.
Therefore, GCD of numbers 810, 430, 520, 763 is 1
Given Input Data is 810, 430, 520, 763
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 430 is 2 x 5 x 43
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
Prime Factorization of 763 is 7 x 109
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(810, 430) = 34830
GCD(810, 430) = ( 810 x 430 ) / 34830
GCD(810, 430) = 348300 / 34830
GCD(810, 430) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 520
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 520) = 520
GCD(10, 520) = ( 10 x 520 ) / 520
GCD(10, 520) = 5200 / 520
GCD(10, 520) = 10
Step3:
Here we consider the GCD from the above i.e. 10 as first number and the next as 763
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 763) = 7630
GCD(10, 763) = ( 10 x 763 ) / 7630
GCD(10, 763) = 7630 / 7630
GCD(10, 763) = 1
GCD of 810, 430, 520, 763 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 810, 430, 520, 763?
GCD of 810, 430, 520, 763 is 1
2. Where do I get the detailed procedure to find GCD of 810, 430, 520, 763?
You can find a detailed procedure to find GCD of 810, 430, 520, 763 on our page.
3. How to find GCD of 810, 430, 520, 763 on a calculator?
You can find the GCD of 810, 430, 520, 763 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.