GCD of 732, 696, 40, 875 Calculator

Given Input numbers are 732, 696, 40, 875

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

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

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

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 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Greatest Common Divisior

We found the divisors of 732, 696, 40, 875 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 696, 40, 875 is 1.

Therefore, GCD of numbers 732, 696, 40, 875 is 1

Given Input Data is 732, 696, 40, 875

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

Prime Factorization of 732 is 2 x 2 x 3 x 61

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

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

Prime Factorization of 875 is 5 x 5 x 5 x 7

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(732, 696) = 42456

GCD(732, 696) = ( 732 x 696 ) / 42456

GCD(732, 696) = 509472 / 42456

GCD(732, 696) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 40

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

LCM(12, 40) = 120

GCD(12, 40) = ( 12 x 40 ) / 120

GCD(12, 40) = 480 / 120

GCD(12, 40) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 875

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

LCM(4, 875) = 3500

GCD(4, 875) = ( 4 x 875 ) / 3500

GCD(4, 875) = 3500 / 3500

GCD(4, 875) = 1

GCD of 732, 696, 40, 875 is 1

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1. What is the GCD of 732, 696, 40, 875?

GCD of 732, 696, 40, 875 is 1

2. Where do I get the detailed procedure to find GCD of 732, 696, 40, 875?

You can find a detailed procedure to find GCD of 732, 696, 40, 875 on our page.

3. How to find GCD of 732, 696, 40, 875 on a calculator?

You can find the GCD of 732, 696, 40, 875 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.