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 687, 273, 837, 486 i.e. 3 largest integer that divides all the numbers equally.
GCD of 687, 273, 837, 486 is 3
GCD(687, 273, 837, 486) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 687, 273, 837, 486 is 3
GCD(687, 273, 837, 486) = 3
Given Input numbers are 687, 273, 837, 486
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Divisors of 273
List of positive integer divisors of 273 that divides 273 without a remainder.
1, 3, 7, 13, 21, 39, 91, 273
Divisors of 837
List of positive integer divisors of 837 that divides 837 without a remainder.
1, 3, 9, 27, 31, 93, 279, 837
Divisors of 486
List of positive integer divisors of 486 that divides 486 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Greatest Common Divisior
We found the divisors of 687, 273, 837, 486 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 273, 837, 486 is 3.
Therefore, GCD of numbers 687, 273, 837, 486 is 3
Given Input Data is 687, 273, 837, 486
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 687 is 3 x 229
Prime Factorization of 273 is 3 x 7 x 13
Prime Factorization of 837 is 3 x 3 x 3 x 31
Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(687, 273) = 62517
GCD(687, 273) = ( 687 x 273 ) / 62517
GCD(687, 273) = 187551 / 62517
GCD(687, 273) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 837
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 837) = 837
GCD(3, 837) = ( 3 x 837 ) / 837
GCD(3, 837) = 2511 / 837
GCD(3, 837) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 486
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 486) = 486
GCD(3, 486) = ( 3 x 486 ) / 486
GCD(3, 486) = 1458 / 486
GCD(3, 486) = 3
GCD of 687, 273, 837, 486 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 687, 273, 837, 486?
GCD of 687, 273, 837, 486 is 3
2. Where do I get the detailed procedure to find GCD of 687, 273, 837, 486?
You can find a detailed procedure to find GCD of 687, 273, 837, 486 on our page.
3. How to find GCD of 687, 273, 837, 486 on a calculator?
You can find the GCD of 687, 273, 837, 486 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.