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 505, 349, 503, 351 i.e. 1 largest integer that divides all the numbers equally.
GCD of 505, 349, 503, 351 is 1
GCD(505, 349, 503, 351) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 505, 349, 503, 351 is 1
GCD(505, 349, 503, 351) = 1
Given Input numbers are 505, 349, 503, 351
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 505
List of positive integer divisors of 505 that divides 505 without a remainder.
1, 5, 101, 505
Divisors of 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Divisors of 503
List of positive integer divisors of 503 that divides 503 without a remainder.
1, 503
Divisors of 351
List of positive integer divisors of 351 that divides 351 without a remainder.
1, 3, 9, 13, 27, 39, 117, 351
Greatest Common Divisior
We found the divisors of 505, 349, 503, 351 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 349, 503, 351 is 1.
Therefore, GCD of numbers 505, 349, 503, 351 is 1
Given Input Data is 505, 349, 503, 351
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 505 is 5 x 101
Prime Factorization of 349 is 349
Prime Factorization of 503 is 503
Prime Factorization of 351 is 3 x 3 x 3 x 13
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(505, 349) = 176245
GCD(505, 349) = ( 505 x 349 ) / 176245
GCD(505, 349) = 176245 / 176245
GCD(505, 349) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 503
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 503) = 503
GCD(1, 503) = ( 1 x 503 ) / 503
GCD(1, 503) = 503 / 503
GCD(1, 503) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 351
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 351) = 351
GCD(1, 351) = ( 1 x 351 ) / 351
GCD(1, 351) = 351 / 351
GCD(1, 351) = 1
GCD of 505, 349, 503, 351 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 505, 349, 503, 351?
GCD of 505, 349, 503, 351 is 1
2. Where do I get the detailed procedure to find GCD of 505, 349, 503, 351?
You can find a detailed procedure to find GCD of 505, 349, 503, 351 on our page.
3. How to find GCD of 505, 349, 503, 351 on a calculator?
You can find the GCD of 505, 349, 503, 351 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.