GCD of 395, 490, 438, 960 Calculator

Given Input numbers are 395, 490, 438, 960

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

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Greatest Common Divisior

We found the divisors of 395, 490, 438, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 395, 490, 438, 960 is 1.

Therefore, GCD of numbers 395, 490, 438, 960 is 1

Given Input Data is 395, 490, 438, 960

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

Prime Factorization of 395 is 5 x 79

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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(395, 490) = 38710

GCD(395, 490) = ( 395 x 490 ) / 38710

GCD(395, 490) = 193550 / 38710

GCD(395, 490) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 438

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

LCM(5, 438) = 2190

GCD(5, 438) = ( 5 x 438 ) / 2190

GCD(5, 438) = 2190 / 2190

GCD(5, 438) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 960

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

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

GCD(1, 960) = 960 / 960

GCD(1, 960) = 1

GCD of 395, 490, 438, 960 is 1

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1. What is the GCD of 395, 490, 438, 960?

GCD of 395, 490, 438, 960 is 1

2. Where do I get the detailed procedure to find GCD of 395, 490, 438, 960?

You can find a detailed procedure to find GCD of 395, 490, 438, 960 on our page.

3. How to find GCD of 395, 490, 438, 960 on a calculator?

You can find the GCD of 395, 490, 438, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.