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, 974, 396, 316 i.e. 1 largest integer that divides all the numbers equally.
GCD of 495, 974, 396, 316 is 1
GCD(495, 974, 396, 316) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 495, 974, 396, 316 is 1
GCD(495, 974, 396, 316) = 1
Given Input numbers are 495, 974, 396, 316
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 974
List of positive integer divisors of 974 that divides 974 without a remainder.
1, 2, 487, 974
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Greatest Common Divisior
We found the divisors of 495, 974, 396, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 495, 974, 396, 316 is 1.
Therefore, GCD of numbers 495, 974, 396, 316 is 1
Given Input Data is 495, 974, 396, 316
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 974 is 2 x 487
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 316 is 2 x 2 x 79
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, 974) = 482130
GCD(495, 974) = ( 495 x 974 ) / 482130
GCD(495, 974) = 482130 / 482130
GCD(495, 974) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 396
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 396) = 396
GCD(1, 396) = ( 1 x 396 ) / 396
GCD(1, 396) = 396 / 396
GCD(1, 396) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 316
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 316) = 316
GCD(1, 316) = ( 1 x 316 ) / 316
GCD(1, 316) = 316 / 316
GCD(1, 316) = 1
GCD of 495, 974, 396, 316 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 495, 974, 396, 316?
GCD of 495, 974, 396, 316 is 1
2. Where do I get the detailed procedure to find GCD of 495, 974, 396, 316?
You can find a detailed procedure to find GCD of 495, 974, 396, 316 on our page.
3. How to find GCD of 495, 974, 396, 316 on a calculator?
You can find the GCD of 495, 974, 396, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.