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 123, 861, 87, 494 i.e. 1 largest integer that divides all the numbers equally.
GCD of 123, 861, 87, 494 is 1
GCD(123, 861, 87, 494) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 123, 861, 87, 494 is 1
GCD(123, 861, 87, 494) = 1
Given Input numbers are 123, 861, 87, 494
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 123
List of positive integer divisors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Divisors of 861
List of positive integer divisors of 861 that divides 861 without a remainder.
1, 3, 7, 21, 41, 123, 287, 861
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 494
List of positive integer divisors of 494 that divides 494 without a remainder.
1, 2, 13, 19, 26, 38, 247, 494
Greatest Common Divisior
We found the divisors of 123, 861, 87, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 861, 87, 494 is 1.
Therefore, GCD of numbers 123, 861, 87, 494 is 1
Given Input Data is 123, 861, 87, 494
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 123 is 3 x 41
Prime Factorization of 861 is 3 x 7 x 41
Prime Factorization of 87 is 3 x 29
Prime Factorization of 494 is 2 x 13 x 19
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(123, 861) = 861
GCD(123, 861) = ( 123 x 861 ) / 861
GCD(123, 861) = 105903 / 861
GCD(123, 861) = 123
Step2:
Here we consider the GCD from the above i.e. 123 as first number and the next as 87
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(123, 87) = 3567
GCD(123, 87) = ( 123 x 87 ) / 3567
GCD(123, 87) = 10701 / 3567
GCD(123, 87) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 494
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 494) = 1482
GCD(3, 494) = ( 3 x 494 ) / 1482
GCD(3, 494) = 1482 / 1482
GCD(3, 494) = 1
GCD of 123, 861, 87, 494 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 123, 861, 87, 494?
GCD of 123, 861, 87, 494 is 1
2. Where do I get the detailed procedure to find GCD of 123, 861, 87, 494?
You can find a detailed procedure to find GCD of 123, 861, 87, 494 on our page.
3. How to find GCD of 123, 861, 87, 494 on a calculator?
You can find the GCD of 123, 861, 87, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.