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, 677, 933, 216 i.e. 1 largest integer that divides all the numbers equally.
GCD of 553, 677, 933, 216 is 1
GCD(553, 677, 933, 216) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 553, 677, 933, 216 is 1
GCD(553, 677, 933, 216) = 1
Given Input numbers are 553, 677, 933, 216
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 677
List of positive integer divisors of 677 that divides 677 without a remainder.
1, 677
Divisors of 933
List of positive integer divisors of 933 that divides 933 without a remainder.
1, 3, 311, 933
Divisors of 216
List of positive integer divisors of 216 that divides 216 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Greatest Common Divisior
We found the divisors of 553, 677, 933, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 677, 933, 216 is 1.
Therefore, GCD of numbers 553, 677, 933, 216 is 1
Given Input Data is 553, 677, 933, 216
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 553 is 7 x 79
Prime Factorization of 677 is 677
Prime Factorization of 933 is 3 x 311
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
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, 677) = 374381
GCD(553, 677) = ( 553 x 677 ) / 374381
GCD(553, 677) = 374381 / 374381
GCD(553, 677) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 933
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 933) = 933
GCD(1, 933) = ( 1 x 933 ) / 933
GCD(1, 933) = 933 / 933
GCD(1, 933) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 216
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 216) = 216
GCD(1, 216) = ( 1 x 216 ) / 216
GCD(1, 216) = 216 / 216
GCD(1, 216) = 1
GCD of 553, 677, 933, 216 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 553, 677, 933, 216?
GCD of 553, 677, 933, 216 is 1
2. Where do I get the detailed procedure to find GCD of 553, 677, 933, 216?
You can find a detailed procedure to find GCD of 553, 677, 933, 216 on our page.
3. How to find GCD of 553, 677, 933, 216 on a calculator?
You can find the GCD of 553, 677, 933, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.