GCD of 440, 512, 356, 309 Calculator

Given Input numbers are 440, 512, 356, 309

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 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 440, 512, 356, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 440, 512, 356, 309 is 1.

Therefore, GCD of numbers 440, 512, 356, 309 is 1

Given Input Data is 440, 512, 356, 309

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 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 309 is 3 x 103

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, 512) = 28160

GCD(440, 512) = ( 440 x 512 ) / 28160

GCD(440, 512) = 225280 / 28160

GCD(440, 512) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 356

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

LCM(8, 356) = 712

GCD(8, 356) = ( 8 x 356 ) / 712

GCD(8, 356) = 2848 / 712

GCD(8, 356) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 309

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

LCM(4, 309) = 1236

GCD(4, 309) = ( 4 x 309 ) / 1236

GCD(4, 309) = 1236 / 1236

GCD(4, 309) = 1

GCD of 440, 512, 356, 309 is 1

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• GCD of 660, 910, 739, 657
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1. What is the GCD of 440, 512, 356, 309?

GCD of 440, 512, 356, 309 is 1

2. Where do I get the detailed procedure to find GCD of 440, 512, 356, 309?

You can find a detailed procedure to find GCD of 440, 512, 356, 309 on our page.

3. How to find GCD of 440, 512, 356, 309 on a calculator?

You can find the GCD of 440, 512, 356, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.