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 716, 344, 933, 653 i.e. 1 largest integer that divides all the numbers equally.
GCD of 716, 344, 933, 653 is 1
GCD(716, 344, 933, 653) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 716, 344, 933, 653 is 1
GCD(716, 344, 933, 653) = 1
Given Input numbers are 716, 344, 933, 653
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 716
List of positive integer divisors of 716 that divides 716 without a remainder.
1, 2, 4, 179, 358, 716
Divisors of 344
List of positive integer divisors of 344 that divides 344 without a remainder.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 933
List of positive integer divisors of 933 that divides 933 without a remainder.
1, 3, 311, 933
Divisors of 653
List of positive integer divisors of 653 that divides 653 without a remainder.
1, 653
Greatest Common Divisior
We found the divisors of 716, 344, 933, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 716, 344, 933, 653 is 1.
Therefore, GCD of numbers 716, 344, 933, 653 is 1
Given Input Data is 716, 344, 933, 653
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 716 is 2 x 2 x 179
Prime Factorization of 344 is 2 x 2 x 2 x 43
Prime Factorization of 933 is 3 x 311
Prime Factorization of 653 is 653
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(716, 344) = 61576
GCD(716, 344) = ( 716 x 344 ) / 61576
GCD(716, 344) = 246304 / 61576
GCD(716, 344) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 933
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 933) = 3732
GCD(4, 933) = ( 4 x 933 ) / 3732
GCD(4, 933) = 3732 / 3732
GCD(4, 933) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 653
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 653) = 653
GCD(1, 653) = ( 1 x 653 ) / 653
GCD(1, 653) = 653 / 653
GCD(1, 653) = 1
GCD of 716, 344, 933, 653 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 716, 344, 933, 653?
GCD of 716, 344, 933, 653 is 1
2. Where do I get the detailed procedure to find GCD of 716, 344, 933, 653?
You can find a detailed procedure to find GCD of 716, 344, 933, 653 on our page.
3. How to find GCD of 716, 344, 933, 653 on a calculator?
You can find the GCD of 716, 344, 933, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.