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 110, 627, 55, 494 i.e. 1 largest integer that divides all the numbers equally.
GCD of 110, 627, 55, 494 is 1
GCD(110, 627, 55, 494) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 110, 627, 55, 494 is 1
GCD(110, 627, 55, 494) = 1
Given Input numbers are 110, 627, 55, 494
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
Divisors of 627
List of positive integer divisors of 627 that divides 627 without a remainder.
1, 3, 11, 19, 33, 57, 209, 627
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
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 110, 627, 55, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 110, 627, 55, 494 is 1.
Therefore, GCD of numbers 110, 627, 55, 494 is 1
Given Input Data is 110, 627, 55, 494
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 110 is 2 x 5 x 11
Prime Factorization of 627 is 3 x 11 x 19
Prime Factorization of 55 is 5 x 11
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(110, 627) = 6270
GCD(110, 627) = ( 110 x 627 ) / 6270
GCD(110, 627) = 68970 / 6270
GCD(110, 627) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 55
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 55) = 55
GCD(11, 55) = ( 11 x 55 ) / 55
GCD(11, 55) = 605 / 55
GCD(11, 55) = 11
Step3:
Here we consider the GCD from the above i.e. 11 as first number and the next as 494
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 494) = 5434
GCD(11, 494) = ( 11 x 494 ) / 5434
GCD(11, 494) = 5434 / 5434
GCD(11, 494) = 1
GCD of 110, 627, 55, 494 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 110, 627, 55, 494?
GCD of 110, 627, 55, 494 is 1
2. Where do I get the detailed procedure to find GCD of 110, 627, 55, 494?
You can find a detailed procedure to find GCD of 110, 627, 55, 494 on our page.
3. How to find GCD of 110, 627, 55, 494 on a calculator?
You can find the GCD of 110, 627, 55, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.