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, 490, 871, 757 i.e. 1 largest integer that divides all the numbers equally.
GCD of 993, 490, 871, 757 is 1
GCD(993, 490, 871, 757) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 993, 490, 871, 757 is 1
GCD(993, 490, 871, 757) = 1
Given Input numbers are 993, 490, 871, 757
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 490
List of positive integer divisors of 490 that divides 490 without a remainder.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Divisors of 757
List of positive integer divisors of 757 that divides 757 without a remainder.
1, 757
Greatest Common Divisior
We found the divisors of 993, 490, 871, 757 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 490, 871, 757 is 1.
Therefore, GCD of numbers 993, 490, 871, 757 is 1
Given Input Data is 993, 490, 871, 757
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 993 is 3 x 331
Prime Factorization of 490 is 2 x 5 x 7 x 7
Prime Factorization of 871 is 13 x 67
Prime Factorization of 757 is 757
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, 490) = 486570
GCD(993, 490) = ( 993 x 490 ) / 486570
GCD(993, 490) = 486570 / 486570
GCD(993, 490) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 871
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 871) = 871
GCD(1, 871) = ( 1 x 871 ) / 871
GCD(1, 871) = 871 / 871
GCD(1, 871) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 757
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 757) = 757
GCD(1, 757) = ( 1 x 757 ) / 757
GCD(1, 757) = 757 / 757
GCD(1, 757) = 1
GCD of 993, 490, 871, 757 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 993, 490, 871, 757?
GCD of 993, 490, 871, 757 is 1
2. Where do I get the detailed procedure to find GCD of 993, 490, 871, 757?
You can find a detailed procedure to find GCD of 993, 490, 871, 757 on our page.
3. How to find GCD of 993, 490, 871, 757 on a calculator?
You can find the GCD of 993, 490, 871, 757 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.