GCD of 440, 640, 65, 665 Calculator

Given Input numbers are 440, 640, 65, 665

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 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Greatest Common Divisior

We found the divisors of 440, 640, 65, 665 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 440, 640, 65, 665 is 5.

Therefore, GCD of numbers 440, 640, 65, 665 is 5

Given Input Data is 440, 640, 65, 665

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 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 65 is 5 x 13

Prime Factorization of 665 is 5 x 7 x 19

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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, 640) = 7040

GCD(440, 640) = ( 440 x 640 ) / 7040

GCD(440, 640) = 281600 / 7040

GCD(440, 640) = 40

Step2:

Here we consider the GCD from the above i.e. 40 as first number and the next as 65

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

LCM(40, 65) = 520

GCD(40, 65) = ( 40 x 65 ) / 520

GCD(40, 65) = 2600 / 520

GCD(40, 65) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 665

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

LCM(5, 665) = 665

GCD(5, 665) = ( 5 x 665 ) / 665

GCD(5, 665) = 3325 / 665

GCD(5, 665) = 5

GCD of 440, 640, 65, 665 is 5

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1. What is the GCD of 440, 640, 65, 665?

GCD of 440, 640, 65, 665 is 5

2. Where do I get the detailed procedure to find GCD of 440, 640, 65, 665?

You can find a detailed procedure to find GCD of 440, 640, 65, 665 on our page.

3. How to find GCD of 440, 640, 65, 665 on a calculator?

You can find the GCD of 440, 640, 65, 665 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.