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 495, 953, 558, 390 i.e. 1 largest integer that divides all the numbers equally.
GCD of 495, 953, 558, 390 is 1
GCD(495, 953, 558, 390) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 495, 953, 558, 390 is 1
GCD(495, 953, 558, 390) = 1
Given Input numbers are 495, 953, 558, 390
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 495
List of positive integer divisors of 495 that divides 495 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Divisors of 953
List of positive integer divisors of 953 that divides 953 without a remainder.
1, 953
Divisors of 558
List of positive integer divisors of 558 that divides 558 without a remainder.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Divisors of 390
List of positive integer divisors of 390 that divides 390 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Greatest Common Divisior
We found the divisors of 495, 953, 558, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 495, 953, 558, 390 is 1.
Therefore, GCD of numbers 495, 953, 558, 390 is 1
Given Input Data is 495, 953, 558, 390
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 495 is 3 x 3 x 5 x 11
Prime Factorization of 953 is 953
Prime Factorization of 558 is 2 x 3 x 3 x 31
Prime Factorization of 390 is 2 x 3 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(495, 953) = 471735
GCD(495, 953) = ( 495 x 953 ) / 471735
GCD(495, 953) = 471735 / 471735
GCD(495, 953) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 558
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 558) = 558
GCD(1, 558) = ( 1 x 558 ) / 558
GCD(1, 558) = 558 / 558
GCD(1, 558) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 390
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 390) = 390
GCD(1, 390) = ( 1 x 390 ) / 390
GCD(1, 390) = 390 / 390
GCD(1, 390) = 1
GCD of 495, 953, 558, 390 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 495, 953, 558, 390?
GCD of 495, 953, 558, 390 is 1
2. Where do I get the detailed procedure to find GCD of 495, 953, 558, 390?
You can find a detailed procedure to find GCD of 495, 953, 558, 390 on our page.
3. How to find GCD of 495, 953, 558, 390 on a calculator?
You can find the GCD of 495, 953, 558, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.