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 676, 993, 30, 741 i.e. 1 largest integer that divides all the numbers equally.
GCD of 676, 993, 30, 741 is 1
GCD(676, 993, 30, 741) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 676, 993, 30, 741 is 1
GCD(676, 993, 30, 741) = 1
Given Input numbers are 676, 993, 30, 741
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 741
List of positive integer divisors of 741 that divides 741 without a remainder.
1, 3, 13, 19, 39, 57, 247, 741
Greatest Common Divisior
We found the divisors of 676, 993, 30, 741 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 993, 30, 741 is 1.
Therefore, GCD of numbers 676, 993, 30, 741 is 1
Given Input Data is 676, 993, 30, 741
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 676 is 2 x 2 x 13 x 13
Prime Factorization of 993 is 3 x 331
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 741 is 3 x 13 x 19
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(676, 993) = 671268
GCD(676, 993) = ( 676 x 993 ) / 671268
GCD(676, 993) = 671268 / 671268
GCD(676, 993) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 30) = 30
GCD(1, 30) = ( 1 x 30 ) / 30
GCD(1, 30) = 30 / 30
GCD(1, 30) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 741
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 741) = 741
GCD(1, 741) = ( 1 x 741 ) / 741
GCD(1, 741) = 741 / 741
GCD(1, 741) = 1
GCD of 676, 993, 30, 741 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 676, 993, 30, 741?
GCD of 676, 993, 30, 741 is 1
2. Where do I get the detailed procedure to find GCD of 676, 993, 30, 741?
You can find a detailed procedure to find GCD of 676, 993, 30, 741 on our page.
3. How to find GCD of 676, 993, 30, 741 on a calculator?
You can find the GCD of 676, 993, 30, 741 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.