GCD of 440, 310, 46, 537 Calculator

Given Input numbers are 440, 310, 46, 537

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

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Greatest Common Divisior

We found the divisors of 440, 310, 46, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 440, 310, 46, 537 is 1.

Therefore, GCD of numbers 440, 310, 46, 537 is 1

Given Input Data is 440, 310, 46, 537

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

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 46 is 2 x 23

Prime Factorization of 537 is 3 x 179

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(440, 310) = 13640

GCD(440, 310) = ( 440 x 310 ) / 13640

GCD(440, 310) = 136400 / 13640

GCD(440, 310) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 46

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

LCM(10, 46) = 230

GCD(10, 46) = ( 10 x 46 ) / 230

GCD(10, 46) = 460 / 230

GCD(10, 46) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 537

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

LCM(2, 537) = 1074

GCD(2, 537) = ( 2 x 537 ) / 1074

GCD(2, 537) = 1074 / 1074

GCD(2, 537) = 1

GCD of 440, 310, 46, 537 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 233, 985, 50, 171
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• GCD of 199, 431, 47, 105
• GCD of 885, 609, 20, 901

1. What is the GCD of 440, 310, 46, 537?

GCD of 440, 310, 46, 537 is 1

2. Where do I get the detailed procedure to find GCD of 440, 310, 46, 537?

You can find a detailed procedure to find GCD of 440, 310, 46, 537 on our page.

3. How to find GCD of 440, 310, 46, 537 on a calculator?

You can find the GCD of 440, 310, 46, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.