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, 995, 28, 979 i.e. 1 largest integer that divides all the numbers equally.
GCD of 498, 995, 28, 979 is 1
GCD(498, 995, 28, 979) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 498, 995, 28, 979 is 1
GCD(498, 995, 28, 979) = 1
Given Input numbers are 498, 995, 28, 979
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 995
List of positive integer divisors of 995 that divides 995 without a remainder.
1, 5, 199, 995
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
Divisors of 979
List of positive integer divisors of 979 that divides 979 without a remainder.
1, 11, 89, 979
Greatest Common Divisior
We found the divisors of 498, 995, 28, 979 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 995, 28, 979 is 1.
Therefore, GCD of numbers 498, 995, 28, 979 is 1
Given Input Data is 498, 995, 28, 979
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 995 is 5 x 199
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 979 is 11 x 89
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, 995) = 495510
GCD(498, 995) = ( 498 x 995 ) / 495510
GCD(498, 995) = 495510 / 495510
GCD(498, 995) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 28
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 28) = 28
GCD(1, 28) = ( 1 x 28 ) / 28
GCD(1, 28) = 28 / 28
GCD(1, 28) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 979
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 979) = 979
GCD(1, 979) = ( 1 x 979 ) / 979
GCD(1, 979) = 979 / 979
GCD(1, 979) = 1
GCD of 498, 995, 28, 979 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 498, 995, 28, 979?
GCD of 498, 995, 28, 979 is 1
2. Where do I get the detailed procedure to find GCD of 498, 995, 28, 979?
You can find a detailed procedure to find GCD of 498, 995, 28, 979 on our page.
3. How to find GCD of 498, 995, 28, 979 on a calculator?
You can find the GCD of 498, 995, 28, 979 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.