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 265, 448, 503, 589 i.e. 1 largest integer that divides all the numbers equally.
GCD of 265, 448, 503, 589 is 1
GCD(265, 448, 503, 589) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 265, 448, 503, 589 is 1
GCD(265, 448, 503, 589) = 1
Given Input numbers are 265, 448, 503, 589
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 265
List of positive integer divisors of 265 that divides 265 without a remainder.
1, 5, 53, 265
Divisors of 448
List of positive integer divisors of 448 that divides 448 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 503
List of positive integer divisors of 503 that divides 503 without a remainder.
1, 503
Divisors of 589
List of positive integer divisors of 589 that divides 589 without a remainder.
1, 19, 31, 589
Greatest Common Divisior
We found the divisors of 265, 448, 503, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 265, 448, 503, 589 is 1.
Therefore, GCD of numbers 265, 448, 503, 589 is 1
Given Input Data is 265, 448, 503, 589
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 265 is 5 x 53
Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 503 is 503
Prime Factorization of 589 is 19 x 31
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(265, 448) = 118720
GCD(265, 448) = ( 265 x 448 ) / 118720
GCD(265, 448) = 118720 / 118720
GCD(265, 448) = 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 589
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 589) = 589
GCD(1, 589) = ( 1 x 589 ) / 589
GCD(1, 589) = 589 / 589
GCD(1, 589) = 1
GCD of 265, 448, 503, 589 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 265, 448, 503, 589?
GCD of 265, 448, 503, 589 is 1
2. Where do I get the detailed procedure to find GCD of 265, 448, 503, 589?
You can find a detailed procedure to find GCD of 265, 448, 503, 589 on our page.
3. How to find GCD of 265, 448, 503, 589 on a calculator?
You can find the GCD of 265, 448, 503, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.