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 485, 735, 993, 344 i.e. 1 largest integer that divides all the numbers equally.
GCD of 485, 735, 993, 344 is 1
GCD(485, 735, 993, 344) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 485, 735, 993, 344 is 1
GCD(485, 735, 993, 344) = 1
Given Input numbers are 485, 735, 993, 344
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 485
List of positive integer divisors of 485 that divides 485 without a remainder.
1, 5, 97, 485
Divisors of 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Divisors of 344
List of positive integer divisors of 344 that divides 344 without a remainder.
1, 2, 4, 8, 43, 86, 172, 344
Greatest Common Divisior
We found the divisors of 485, 735, 993, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 485, 735, 993, 344 is 1.
Therefore, GCD of numbers 485, 735, 993, 344 is 1
Given Input Data is 485, 735, 993, 344
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 485 is 5 x 97
Prime Factorization of 735 is 3 x 5 x 7 x 7
Prime Factorization of 993 is 3 x 331
Prime Factorization of 344 is 2 x 2 x 2 x 43
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(485, 735) = 71295
GCD(485, 735) = ( 485 x 735 ) / 71295
GCD(485, 735) = 356475 / 71295
GCD(485, 735) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 993
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 993) = 4965
GCD(5, 993) = ( 5 x 993 ) / 4965
GCD(5, 993) = 4965 / 4965
GCD(5, 993) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 344
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 344) = 344
GCD(1, 344) = ( 1 x 344 ) / 344
GCD(1, 344) = 344 / 344
GCD(1, 344) = 1
GCD of 485, 735, 993, 344 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 485, 735, 993, 344?
GCD of 485, 735, 993, 344 is 1
2. Where do I get the detailed procedure to find GCD of 485, 735, 993, 344?
You can find a detailed procedure to find GCD of 485, 735, 993, 344 on our page.
3. How to find GCD of 485, 735, 993, 344 on a calculator?
You can find the GCD of 485, 735, 993, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.