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 299, 443, 48, 545 i.e. 1 largest integer that divides all the numbers equally.
GCD of 299, 443, 48, 545 is 1
GCD(299, 443, 48, 545) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 299, 443, 48, 545 is 1
GCD(299, 443, 48, 545) = 1
Given Input numbers are 299, 443, 48, 545
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 299
List of positive integer divisors of 299 that divides 299 without a remainder.
1, 13, 23, 299
Divisors of 443
List of positive integer divisors of 443 that divides 443 without a remainder.
1, 443
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 545
List of positive integer divisors of 545 that divides 545 without a remainder.
1, 5, 109, 545
Greatest Common Divisior
We found the divisors of 299, 443, 48, 545 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 443, 48, 545 is 1.
Therefore, GCD of numbers 299, 443, 48, 545 is 1
Given Input Data is 299, 443, 48, 545
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 299 is 13 x 23
Prime Factorization of 443 is 443
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 545 is 5 x 109
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(299, 443) = 132457
GCD(299, 443) = ( 299 x 443 ) / 132457
GCD(299, 443) = 132457 / 132457
GCD(299, 443) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 48) = 48
GCD(1, 48) = ( 1 x 48 ) / 48
GCD(1, 48) = 48 / 48
GCD(1, 48) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 545
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 545) = 545
GCD(1, 545) = ( 1 x 545 ) / 545
GCD(1, 545) = 545 / 545
GCD(1, 545) = 1
GCD of 299, 443, 48, 545 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 299, 443, 48, 545?
GCD of 299, 443, 48, 545 is 1
2. Where do I get the detailed procedure to find GCD of 299, 443, 48, 545?
You can find a detailed procedure to find GCD of 299, 443, 48, 545 on our page.
3. How to find GCD of 299, 443, 48, 545 on a calculator?
You can find the GCD of 299, 443, 48, 545 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.