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 313, 488, 699, 103 i.e. 1 largest integer that divides all the numbers equally.
GCD of 313, 488, 699, 103 is 1
GCD(313, 488, 699, 103) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 313, 488, 699, 103 is 1
GCD(313, 488, 699, 103) = 1
Given Input numbers are 313, 488, 699, 103
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 313
List of positive integer divisors of 313 that divides 313 without a remainder.
1, 313
Divisors of 488
List of positive integer divisors of 488 that divides 488 without a remainder.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 699
List of positive integer divisors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Greatest Common Divisior
We found the divisors of 313, 488, 699, 103 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 488, 699, 103 is 1.
Therefore, GCD of numbers 313, 488, 699, 103 is 1
Given Input Data is 313, 488, 699, 103
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 313 is 313
Prime Factorization of 488 is 2 x 2 x 2 x 61
Prime Factorization of 699 is 3 x 233
Prime Factorization of 103 is 103
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(313, 488) = 152744
GCD(313, 488) = ( 313 x 488 ) / 152744
GCD(313, 488) = 152744 / 152744
GCD(313, 488) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 699
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 699) = 699
GCD(1, 699) = ( 1 x 699 ) / 699
GCD(1, 699) = 699 / 699
GCD(1, 699) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 103
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 103) = 103
GCD(1, 103) = ( 1 x 103 ) / 103
GCD(1, 103) = 103 / 103
GCD(1, 103) = 1
GCD of 313, 488, 699, 103 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 313, 488, 699, 103?
GCD of 313, 488, 699, 103 is 1
2. Where do I get the detailed procedure to find GCD of 313, 488, 699, 103?
You can find a detailed procedure to find GCD of 313, 488, 699, 103 on our page.
3. How to find GCD of 313, 488, 699, 103 on a calculator?
You can find the GCD of 313, 488, 699, 103 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.