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 263, 720, 52, 508 i.e. 1 largest integer that divides all the numbers equally.
GCD of 263, 720, 52, 508 is 1
GCD(263, 720, 52, 508) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 263, 720, 52, 508 is 1
GCD(263, 720, 52, 508) = 1
Given Input numbers are 263, 720, 52, 508
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 263
List of positive integer divisors of 263 that divides 263 without a remainder.
1, 263
Divisors of 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 508
List of positive integer divisors of 508 that divides 508 without a remainder.
1, 2, 4, 127, 254, 508
Greatest Common Divisior
We found the divisors of 263, 720, 52, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 263, 720, 52, 508 is 1.
Therefore, GCD of numbers 263, 720, 52, 508 is 1
Given Input Data is 263, 720, 52, 508
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 263 is 263
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 508 is 2 x 2 x 127
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(263, 720) = 189360
GCD(263, 720) = ( 263 x 720 ) / 189360
GCD(263, 720) = 189360 / 189360
GCD(263, 720) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 52) = 52
GCD(1, 52) = ( 1 x 52 ) / 52
GCD(1, 52) = 52 / 52
GCD(1, 52) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 508
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 508) = 508
GCD(1, 508) = ( 1 x 508 ) / 508
GCD(1, 508) = 508 / 508
GCD(1, 508) = 1
GCD of 263, 720, 52, 508 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 263, 720, 52, 508?
GCD of 263, 720, 52, 508 is 1
2. Where do I get the detailed procedure to find GCD of 263, 720, 52, 508?
You can find a detailed procedure to find GCD of 263, 720, 52, 508 on our page.
3. How to find GCD of 263, 720, 52, 508 on a calculator?
You can find the GCD of 263, 720, 52, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.