GCD of 40, 493, 126, 466 Calculator

Given Input numbers are 40, 493, 126, 466

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 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Greatest Common Divisior

We found the divisors of 40, 493, 126, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 493, 126, 466 is 1.

Therefore, GCD of numbers 40, 493, 126, 466 is 1

Given Input Data is 40, 493, 126, 466

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 493 is 17 x 29

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 466 is 2 x 233

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, 493) = 19720

GCD(40, 493) = ( 40 x 493 ) / 19720

GCD(40, 493) = 19720 / 19720

GCD(40, 493) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 126

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

LCM(1, 126) = 126

GCD(1, 126) = ( 1 x 126 ) / 126

GCD(1, 126) = 126 / 126

GCD(1, 126) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 466

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

LCM(1, 466) = 466

GCD(1, 466) = ( 1 x 466 ) / 466

GCD(1, 466) = 466 / 466

GCD(1, 466) = 1

GCD of 40, 493, 126, 466 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 46, 767, 570, 321
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• GCD of 43, 616, 290, 589
• GCD of 50, 154, 192, 703
• GCD of 15, 363, 456, 328

1. What is the GCD of 40, 493, 126, 466?

GCD of 40, 493, 126, 466 is 1

2. Where do I get the detailed procedure to find GCD of 40, 493, 126, 466?

You can find a detailed procedure to find GCD of 40, 493, 126, 466 on our page.

3. How to find GCD of 40, 493, 126, 466 on a calculator?

You can find the GCD of 40, 493, 126, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.