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 993, 630, 49, 741 i.e. 1 largest integer that divides all the numbers equally.
GCD of 993, 630, 49, 741 is 1
GCD(993, 630, 49, 741) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 993, 630, 49, 741 is 1
GCD(993, 630, 49, 741) = 1
Given Input numbers are 993, 630, 49, 741
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Divisors of 630
List of positive integer divisors of 630 that divides 630 without a remainder.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
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 993, 630, 49, 741 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 630, 49, 741 is 1.
Therefore, GCD of numbers 993, 630, 49, 741 is 1
Given Input Data is 993, 630, 49, 741
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 993 is 3 x 331
Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7
Prime Factorization of 49 is 7 x 7
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(993, 630) = 208530
GCD(993, 630) = ( 993 x 630 ) / 208530
GCD(993, 630) = 625590 / 208530
GCD(993, 630) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 49) = 147
GCD(3, 49) = ( 3 x 49 ) / 147
GCD(3, 49) = 147 / 147
GCD(3, 49) = 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 993, 630, 49, 741 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 993, 630, 49, 741?
GCD of 993, 630, 49, 741 is 1
2. Where do I get the detailed procedure to find GCD of 993, 630, 49, 741?
You can find a detailed procedure to find GCD of 993, 630, 49, 741 on our page.
3. How to find GCD of 993, 630, 49, 741 on a calculator?
You can find the GCD of 993, 630, 49, 741 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.