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 498, 499, 563, 280 i.e. 1 largest integer that divides all the numbers equally.
GCD of 498, 499, 563, 280 is 1
GCD(498, 499, 563, 280) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 498, 499, 563, 280 is 1
GCD(498, 499, 563, 280) = 1
Given Input numbers are 498, 499, 563, 280
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 498
List of positive integer divisors of 498 that divides 498 without a remainder.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 499
List of positive integer divisors of 499 that divides 499 without a remainder.
1, 499
Divisors of 563
List of positive integer divisors of 563 that divides 563 without a remainder.
1, 563
Divisors of 280
List of positive integer divisors of 280 that divides 280 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Greatest Common Divisior
We found the divisors of 498, 499, 563, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 499, 563, 280 is 1.
Therefore, GCD of numbers 498, 499, 563, 280 is 1
Given Input Data is 498, 499, 563, 280
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 498 is 2 x 3 x 83
Prime Factorization of 499 is 499
Prime Factorization of 563 is 563
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
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(498, 499) = 248502
GCD(498, 499) = ( 498 x 499 ) / 248502
GCD(498, 499) = 248502 / 248502
GCD(498, 499) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 563
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 563) = 563
GCD(1, 563) = ( 1 x 563 ) / 563
GCD(1, 563) = 563 / 563
GCD(1, 563) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 280
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 280) = 280
GCD(1, 280) = ( 1 x 280 ) / 280
GCD(1, 280) = 280 / 280
GCD(1, 280) = 1
GCD of 498, 499, 563, 280 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 498, 499, 563, 280?
GCD of 498, 499, 563, 280 is 1
2. Where do I get the detailed procedure to find GCD of 498, 499, 563, 280?
You can find a detailed procedure to find GCD of 498, 499, 563, 280 on our page.
3. How to find GCD of 498, 499, 563, 280 on a calculator?
You can find the GCD of 498, 499, 563, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.