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, 280, 747, 460 i.e. 1 largest integer that divides all the numbers equally.
GCD of 993, 280, 747, 460 is 1
GCD(993, 280, 747, 460) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 993, 280, 747, 460 is 1
GCD(993, 280, 747, 460) = 1
Given Input numbers are 993, 280, 747, 460
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 280
List of positive integer divisors of 280 that divides 280 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Divisors of 460
List of positive integer divisors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Greatest Common Divisior
We found the divisors of 993, 280, 747, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 280, 747, 460 is 1.
Therefore, GCD of numbers 993, 280, 747, 460 is 1
Given Input Data is 993, 280, 747, 460
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 993 is 3 x 331
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
Prime Factorization of 747 is 3 x 3 x 83
Prime Factorization of 460 is 2 x 2 x 5 x 23
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, 280) = 278040
GCD(993, 280) = ( 993 x 280 ) / 278040
GCD(993, 280) = 278040 / 278040
GCD(993, 280) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 747
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 747) = 747
GCD(1, 747) = ( 1 x 747 ) / 747
GCD(1, 747) = 747 / 747
GCD(1, 747) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 460
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 460) = 460
GCD(1, 460) = ( 1 x 460 ) / 460
GCD(1, 460) = 460 / 460
GCD(1, 460) = 1
GCD of 993, 280, 747, 460 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 993, 280, 747, 460?
GCD of 993, 280, 747, 460 is 1
2. Where do I get the detailed procedure to find GCD of 993, 280, 747, 460?
You can find a detailed procedure to find GCD of 993, 280, 747, 460 on our page.
3. How to find GCD of 993, 280, 747, 460 on a calculator?
You can find the GCD of 993, 280, 747, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.