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 404, 688, 46, 503 i.e. 1 largest integer that divides all the numbers equally.
GCD of 404, 688, 46, 503 is 1
GCD(404, 688, 46, 503) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 404, 688, 46, 503 is 1
GCD(404, 688, 46, 503) = 1
Given Input numbers are 404, 688, 46, 503
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Divisors of 688
List of positive integer divisors of 688 that divides 688 without a remainder.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 503
List of positive integer divisors of 503 that divides 503 without a remainder.
1, 503
Greatest Common Divisior
We found the divisors of 404, 688, 46, 503 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 404, 688, 46, 503 is 1.
Therefore, GCD of numbers 404, 688, 46, 503 is 1
Given Input Data is 404, 688, 46, 503
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 404 is 2 x 2 x 101
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
Prime Factorization of 46 is 2 x 23
Prime Factorization of 503 is 503
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(404, 688) = 69488
GCD(404, 688) = ( 404 x 688 ) / 69488
GCD(404, 688) = 277952 / 69488
GCD(404, 688) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 46
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 46) = 92
GCD(4, 46) = ( 4 x 46 ) / 92
GCD(4, 46) = 184 / 92
GCD(4, 46) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 503
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 503) = 1006
GCD(2, 503) = ( 2 x 503 ) / 1006
GCD(2, 503) = 1006 / 1006
GCD(2, 503) = 1
GCD of 404, 688, 46, 503 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 404, 688, 46, 503?
GCD of 404, 688, 46, 503 is 1
2. Where do I get the detailed procedure to find GCD of 404, 688, 46, 503?
You can find a detailed procedure to find GCD of 404, 688, 46, 503 on our page.
3. How to find GCD of 404, 688, 46, 503 on a calculator?
You can find the GCD of 404, 688, 46, 503 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.