GCD of 295, 640, 72, 404 Calculator

Given Input numbers are 295, 640, 72, 404

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

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

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 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Greatest Common Divisior

We found the divisors of 295, 640, 72, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 295, 640, 72, 404 is 1.

Therefore, GCD of numbers 295, 640, 72, 404 is 1

Given Input Data is 295, 640, 72, 404

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

Prime Factorization of 295 is 5 x 59

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 404 is 2 x 2 x 101

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(295, 640) = 37760

GCD(295, 640) = ( 295 x 640 ) / 37760

GCD(295, 640) = 188800 / 37760

GCD(295, 640) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 72

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

LCM(5, 72) = 360

GCD(5, 72) = ( 5 x 72 ) / 360

GCD(5, 72) = 360 / 360

GCD(5, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 404

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

LCM(1, 404) = 404

GCD(1, 404) = ( 1 x 404 ) / 404

GCD(1, 404) = 404 / 404

GCD(1, 404) = 1

GCD of 295, 640, 72, 404 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 118, 207, 70, 985
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• GCD of 807, 960, 18, 350

1. What is the GCD of 295, 640, 72, 404?

GCD of 295, 640, 72, 404 is 1

2. Where do I get the detailed procedure to find GCD of 295, 640, 72, 404?

You can find a detailed procedure to find GCD of 295, 640, 72, 404 on our page.

3. How to find GCD of 295, 640, 72, 404 on a calculator?

You can find the GCD of 295, 640, 72, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.