GCD of 438, 470, 267, 494 Calculator

Given Input numbers are 438, 470, 267, 494

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

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 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Greatest Common Divisior

We found the divisors of 438, 470, 267, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 470, 267, 494 is 1.

Therefore, GCD of numbers 438, 470, 267, 494 is 1

Given Input Data is 438, 470, 267, 494

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

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 267 is 3 x 89

Prime Factorization of 494 is 2 x 13 x 19

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(438, 470) = 102930

GCD(438, 470) = ( 438 x 470 ) / 102930

GCD(438, 470) = 205860 / 102930

GCD(438, 470) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 267

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

LCM(2, 267) = 534

GCD(2, 267) = ( 2 x 267 ) / 534

GCD(2, 267) = 534 / 534

GCD(2, 267) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 494

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

LCM(1, 494) = 494

GCD(1, 494) = ( 1 x 494 ) / 494

GCD(1, 494) = 494 / 494

GCD(1, 494) = 1

GCD of 438, 470, 267, 494 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 549, 188, 503, 541
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• GCD of 700, 317, 871, 855
• GCD of 777, 633, 171, 120
• GCD of 777, 765, 232, 763

1. What is the GCD of 438, 470, 267, 494?

GCD of 438, 470, 267, 494 is 1

2. Where do I get the detailed procedure to find GCD of 438, 470, 267, 494?

You can find a detailed procedure to find GCD of 438, 470, 267, 494 on our page.

3. How to find GCD of 438, 470, 267, 494 on a calculator?

You can find the GCD of 438, 470, 267, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.