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 488, 805, 54, 520 i.e. 1 largest integer that divides all the numbers equally.
GCD of 488, 805, 54, 520 is 1
GCD(488, 805, 54, 520) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 488, 805, 54, 520 is 1
GCD(488, 805, 54, 520) = 1
Given Input numbers are 488, 805, 54, 520
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 488
List of positive integer divisors of 488 that divides 488 without a remainder.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 805
List of positive integer divisors of 805 that divides 805 without a remainder.
1, 5, 7, 23, 35, 115, 161, 805
Divisors of 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 520
List of positive integer divisors of 520 that divides 520 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Greatest Common Divisior
We found the divisors of 488, 805, 54, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 488, 805, 54, 520 is 1.
Therefore, GCD of numbers 488, 805, 54, 520 is 1
Given Input Data is 488, 805, 54, 520
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 488 is 2 x 2 x 2 x 61
Prime Factorization of 805 is 5 x 7 x 23
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 520 is 2 x 2 x 2 x 5 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(488, 805) = 392840
GCD(488, 805) = ( 488 x 805 ) / 392840
GCD(488, 805) = 392840 / 392840
GCD(488, 805) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 54
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 54) = 54
GCD(1, 54) = ( 1 x 54 ) / 54
GCD(1, 54) = 54 / 54
GCD(1, 54) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 520
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 520) = 520
GCD(1, 520) = ( 1 x 520 ) / 520
GCD(1, 520) = 520 / 520
GCD(1, 520) = 1
GCD of 488, 805, 54, 520 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 488, 805, 54, 520?
GCD of 488, 805, 54, 520 is 1
2. Where do I get the detailed procedure to find GCD of 488, 805, 54, 520?
You can find a detailed procedure to find GCD of 488, 805, 54, 520 on our page.
3. How to find GCD of 488, 805, 54, 520 on a calculator?
You can find the GCD of 488, 805, 54, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.