GCD of 40, 727, 108, 746 Calculator

Given Input numbers are 40, 727, 108, 746

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 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Greatest Common Divisior

We found the divisors of 40, 727, 108, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 727, 108, 746 is 1.

Therefore, GCD of numbers 40, 727, 108, 746 is 1

Given Input Data is 40, 727, 108, 746

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 727 is 727

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 746 is 2 x 373

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, 727) = 29080

GCD(40, 727) = ( 40 x 727 ) / 29080

GCD(40, 727) = 29080 / 29080

GCD(40, 727) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 746

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

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

GCD(1, 746) = 746 / 746

GCD(1, 746) = 1

GCD of 40, 727, 108, 746 is 1

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1. What is the GCD of 40, 727, 108, 746?

GCD of 40, 727, 108, 746 is 1

2. Where do I get the detailed procedure to find GCD of 40, 727, 108, 746?

You can find a detailed procedure to find GCD of 40, 727, 108, 746 on our page.

3. How to find GCD of 40, 727, 108, 746 on a calculator?

You can find the GCD of 40, 727, 108, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.