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, 731, 77, 935 i.e. 1 largest integer that divides all the numbers equally.
GCD of 810, 731, 77, 935 is 1
GCD(810, 731, 77, 935) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 810, 731, 77, 935 is 1
GCD(810, 731, 77, 935) = 1
Given Input numbers are 810, 731, 77, 935
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 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 935
List of positive integer divisors of 935 that divides 935 without a remainder.
1, 5, 11, 17, 55, 85, 187, 935
Greatest Common Divisior
We found the divisors of 810, 731, 77, 935 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 810, 731, 77, 935 is 1.
Therefore, GCD of numbers 810, 731, 77, 935 is 1
Given Input Data is 810, 731, 77, 935
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 731 is 17 x 43
Prime Factorization of 77 is 7 x 11
Prime Factorization of 935 is 5 x 11 x 17
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, 731) = 592110
GCD(810, 731) = ( 810 x 731 ) / 592110
GCD(810, 731) = 592110 / 592110
GCD(810, 731) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 77) = 77
GCD(1, 77) = ( 1 x 77 ) / 77
GCD(1, 77) = 77 / 77
GCD(1, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 935
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 935) = 935
GCD(1, 935) = ( 1 x 935 ) / 935
GCD(1, 935) = 935 / 935
GCD(1, 935) = 1
GCD of 810, 731, 77, 935 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 810, 731, 77, 935?
GCD of 810, 731, 77, 935 is 1
2. Where do I get the detailed procedure to find GCD of 810, 731, 77, 935?
You can find a detailed procedure to find GCD of 810, 731, 77, 935 on our page.
3. How to find GCD of 810, 731, 77, 935 on a calculator?
You can find the GCD of 810, 731, 77, 935 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.