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 55, 627, 345, 487 i.e. 1 largest integer that divides all the numbers equally.
GCD of 55, 627, 345, 487 is 1
GCD(55, 627, 345, 487) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 55, 627, 345, 487 is 1
GCD(55, 627, 345, 487) = 1
Given Input numbers are 55, 627, 345, 487
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
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 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 487
List of positive integer divisors of 487 that divides 487 without a remainder.
1, 487
Greatest Common Divisior
We found the divisors of 55, 627, 345, 487 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 55, 627, 345, 487 is 1.
Therefore, GCD of numbers 55, 627, 345, 487 is 1
Given Input Data is 55, 627, 345, 487
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 55 is 5 x 11
Prime Factorization of 627 is 3 x 11 x 19
Prime Factorization of 345 is 3 x 5 x 23
Prime Factorization of 487 is 487
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(55, 627) = 3135
GCD(55, 627) = ( 55 x 627 ) / 3135
GCD(55, 627) = 34485 / 3135
GCD(55, 627) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 345
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 345) = 3795
GCD(11, 345) = ( 11 x 345 ) / 3795
GCD(11, 345) = 3795 / 3795
GCD(11, 345) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 487
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 487) = 487
GCD(1, 487) = ( 1 x 487 ) / 487
GCD(1, 487) = 487 / 487
GCD(1, 487) = 1
GCD of 55, 627, 345, 487 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 55, 627, 345, 487?
GCD of 55, 627, 345, 487 is 1
2. Where do I get the detailed procedure to find GCD of 55, 627, 345, 487?
You can find a detailed procedure to find GCD of 55, 627, 345, 487 on our page.
3. How to find GCD of 55, 627, 345, 487 on a calculator?
You can find the GCD of 55, 627, 345, 487 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.