GCD of 431, 908, 735, 385 Calculator

Given Input numbers are 431, 908, 735, 385

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

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Greatest Common Divisior

We found the divisors of 431, 908, 735, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 431, 908, 735, 385 is 1.

Therefore, GCD of numbers 431, 908, 735, 385 is 1

Given Input Data is 431, 908, 735, 385

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

Prime Factorization of 431 is 431

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 385 is 5 x 7 x 11

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(431, 908) = 391348

GCD(431, 908) = ( 431 x 908 ) / 391348

GCD(431, 908) = 391348 / 391348

GCD(431, 908) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 735

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

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

GCD(1, 735) = 735 / 735

GCD(1, 735) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 385

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

LCM(1, 385) = 385

GCD(1, 385) = ( 1 x 385 ) / 385

GCD(1, 385) = 385 / 385

GCD(1, 385) = 1

GCD of 431, 908, 735, 385 is 1

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1. What is the GCD of 431, 908, 735, 385?

GCD of 431, 908, 735, 385 is 1

2. Where do I get the detailed procedure to find GCD of 431, 908, 735, 385?

You can find a detailed procedure to find GCD of 431, 908, 735, 385 on our page.

3. How to find GCD of 431, 908, 735, 385 on a calculator?

You can find the GCD of 431, 908, 735, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.