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 553, 627, 66, 814 i.e. 1 largest integer that divides all the numbers equally.
GCD of 553, 627, 66, 814 is 1
GCD(553, 627, 66, 814) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 553, 627, 66, 814 is 1
GCD(553, 627, 66, 814) = 1
Given Input numbers are 553, 627, 66, 814
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 553
List of positive integer divisors of 553 that divides 553 without a remainder.
1, 7, 79, 553
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 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 814
List of positive integer divisors of 814 that divides 814 without a remainder.
1, 2, 11, 22, 37, 74, 407, 814
Greatest Common Divisior
We found the divisors of 553, 627, 66, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 627, 66, 814 is 1.
Therefore, GCD of numbers 553, 627, 66, 814 is 1
Given Input Data is 553, 627, 66, 814
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 553 is 7 x 79
Prime Factorization of 627 is 3 x 11 x 19
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 814 is 2 x 11 x 37
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(553, 627) = 346731
GCD(553, 627) = ( 553 x 627 ) / 346731
GCD(553, 627) = 346731 / 346731
GCD(553, 627) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 66) = 66
GCD(1, 66) = ( 1 x 66 ) / 66
GCD(1, 66) = 66 / 66
GCD(1, 66) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 814
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 814) = 814
GCD(1, 814) = ( 1 x 814 ) / 814
GCD(1, 814) = 814 / 814
GCD(1, 814) = 1
GCD of 553, 627, 66, 814 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 553, 627, 66, 814?
GCD of 553, 627, 66, 814 is 1
2. Where do I get the detailed procedure to find GCD of 553, 627, 66, 814?
You can find a detailed procedure to find GCD of 553, 627, 66, 814 on our page.
3. How to find GCD of 553, 627, 66, 814 on a calculator?
You can find the GCD of 553, 627, 66, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.