GCD of 495, 974, 396, 316 Calculator

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

GCD of numbers 495, 974, 396, 316 is 1

GCD(495, 974, 396, 316) = 1

GCD of 495,974,396,316 Calculator

GCDof 495,974,396,316 is 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

Finding GCD of 495, 974, 396, 316 using Prime Factorization

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

Finding GCD of 495, 974, 396, 316 using LCM Formula

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

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 495, 974, 396, 316

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.