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, 618, 77, 293 i.e. 1 largest integer that divides all the numbers equally.
GCD of 810, 618, 77, 293 is 1
GCD(810, 618, 77, 293) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 810, 618, 77, 293 is 1
GCD(810, 618, 77, 293) = 1
Given Input numbers are 810, 618, 77, 293
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 618
List of positive integer divisors of 618 that divides 618 without a remainder.
1, 2, 3, 6, 103, 206, 309, 618
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 293
List of positive integer divisors of 293 that divides 293 without a remainder.
1, 293
Greatest Common Divisior
We found the divisors of 810, 618, 77, 293 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 810, 618, 77, 293 is 1.
Therefore, GCD of numbers 810, 618, 77, 293 is 1
Given Input Data is 810, 618, 77, 293
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 618 is 2 x 3 x 103
Prime Factorization of 77 is 7 x 11
Prime Factorization of 293 is 293
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, 618) = 83430
GCD(810, 618) = ( 810 x 618 ) / 83430
GCD(810, 618) = 500580 / 83430
GCD(810, 618) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 77) = 462
GCD(6, 77) = ( 6 x 77 ) / 462
GCD(6, 77) = 462 / 462
GCD(6, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 293
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 293) = 293
GCD(1, 293) = ( 1 x 293 ) / 293
GCD(1, 293) = 293 / 293
GCD(1, 293) = 1
GCD of 810, 618, 77, 293 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 810, 618, 77, 293?
GCD of 810, 618, 77, 293 is 1
2. Where do I get the detailed procedure to find GCD of 810, 618, 77, 293?
You can find a detailed procedure to find GCD of 810, 618, 77, 293 on our page.
3. How to find GCD of 810, 618, 77, 293 on a calculator?
You can find the GCD of 810, 618, 77, 293 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.