GCD of 40, 315, 488, 696 Calculator

Given Input numbers are 40, 315, 488, 696

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Greatest Common Divisior

We found the divisors of 40, 315, 488, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 315, 488, 696 is 1.

Therefore, GCD of numbers 40, 315, 488, 696 is 1

Given Input Data is 40, 315, 488, 696

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

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(40, 315) = 2520

GCD(40, 315) = ( 40 x 315 ) / 2520

GCD(40, 315) = 12600 / 2520

GCD(40, 315) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 488

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(5, 488) = 2440

GCD(5, 488) = ( 5 x 488 ) / 2440

GCD(5, 488) = 2440 / 2440

GCD(5, 488) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 696

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 696) = 696

GCD(1, 696) = ( 1 x 696 ) / 696

GCD(1, 696) = 696 / 696

GCD(1, 696) = 1

GCD of 40, 315, 488, 696 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 60, 153, 769, 587
• GCD of 36, 368, 744, 562
• GCD of 52, 416, 990, 293
• GCD of 53, 301, 572, 377
• GCD of 83, 699, 679, 412

1. What is the GCD of 40, 315, 488, 696?

GCD of 40, 315, 488, 696 is 1

2. Where do I get the detailed procedure to find GCD of 40, 315, 488, 696?

You can find a detailed procedure to find GCD of 40, 315, 488, 696 on our page.

3. How to find GCD of 40, 315, 488, 696 on a calculator?

You can find the GCD of 40, 315, 488, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.