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, 566, 33, 614 i.e. 1 largest integer that divides all the numbers equally.
GCD of 553, 566, 33, 614 is 1
GCD(553, 566, 33, 614) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 553, 566, 33, 614 is 1
GCD(553, 566, 33, 614) = 1
Given Input numbers are 553, 566, 33, 614
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 566
List of positive integer divisors of 566 that divides 566 without a remainder.
1, 2, 283, 566
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Divisors of 614
List of positive integer divisors of 614 that divides 614 without a remainder.
1, 2, 307, 614
Greatest Common Divisior
We found the divisors of 553, 566, 33, 614 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 566, 33, 614 is 1.
Therefore, GCD of numbers 553, 566, 33, 614 is 1
Given Input Data is 553, 566, 33, 614
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 553 is 7 x 79
Prime Factorization of 566 is 2 x 283
Prime Factorization of 33 is 3 x 11
Prime Factorization of 614 is 2 x 307
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, 566) = 312998
GCD(553, 566) = ( 553 x 566 ) / 312998
GCD(553, 566) = 312998 / 312998
GCD(553, 566) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 33
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 33) = 33
GCD(1, 33) = ( 1 x 33 ) / 33
GCD(1, 33) = 33 / 33
GCD(1, 33) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 614
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 614) = 614
GCD(1, 614) = ( 1 x 614 ) / 614
GCD(1, 614) = 614 / 614
GCD(1, 614) = 1
GCD of 553, 566, 33, 614 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 553, 566, 33, 614?
GCD of 553, 566, 33, 614 is 1
2. Where do I get the detailed procedure to find GCD of 553, 566, 33, 614?
You can find a detailed procedure to find GCD of 553, 566, 33, 614 on our page.
3. How to find GCD of 553, 566, 33, 614 on a calculator?
You can find the GCD of 553, 566, 33, 614 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.