GCD of 438, 171, 77, 293 Calculator

Given Input numbers are 438, 171, 77, 293

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 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 293

List of positive integer divisors of 293 that divides 293 without a remainder.

1, 293

Greatest Common Divisior

We found the divisors of 438, 171, 77, 293 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 171, 77, 293 is 1.

Therefore, GCD of numbers 438, 171, 77, 293 is 1

Given Input Data is 438, 171, 77, 293

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 171 is 3 x 3 x 19

Prime Factorization of 77 is 7 x 11

Prime Factorization of 293 is 293

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, 171) = 24966

GCD(438, 171) = ( 438 x 171 ) / 24966

GCD(438, 171) = 74898 / 24966

GCD(438, 171) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 77

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

LCM(3, 77) = 231

GCD(3, 77) = ( 3 x 77 ) / 231

GCD(3, 77) = 231 / 231

GCD(3, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 293

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

LCM(1, 293) = 293

GCD(1, 293) = ( 1 x 293 ) / 293

GCD(1, 293) = 293 / 293

GCD(1, 293) = 1

GCD of 438, 171, 77, 293 is 1

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• GCD of 325, 809, 46, 856
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1. What is the GCD of 438, 171, 77, 293?

GCD of 438, 171, 77, 293 is 1

2. Where do I get the detailed procedure to find GCD of 438, 171, 77, 293?

You can find a detailed procedure to find GCD of 438, 171, 77, 293 on our page.

3. How to find GCD of 438, 171, 77, 293 on a calculator?

You can find the GCD of 438, 171, 77, 293 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.