GCD of 431, 914, 75, 813 Calculator

Given Input numbers are 431, 914, 75, 813

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 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Greatest Common Divisior

We found the divisors of 431, 914, 75, 813 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 431, 914, 75, 813 is 1.

Therefore, GCD of numbers 431, 914, 75, 813 is 1

Given Input Data is 431, 914, 75, 813

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

Prime Factorization of 431 is 431

Prime Factorization of 914 is 2 x 457

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 813 is 3 x 271

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, 914) = 393934

GCD(431, 914) = ( 431 x 914 ) / 393934

GCD(431, 914) = 393934 / 393934

GCD(431, 914) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 813

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

LCM(1, 813) = 813

GCD(1, 813) = ( 1 x 813 ) / 813

GCD(1, 813) = 813 / 813

GCD(1, 813) = 1

GCD of 431, 914, 75, 813 is 1

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• GCD of 249, 237, 31, 873
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• GCD of 725, 312, 43, 686

1. What is the GCD of 431, 914, 75, 813?

GCD of 431, 914, 75, 813 is 1

2. Where do I get the detailed procedure to find GCD of 431, 914, 75, 813?

You can find a detailed procedure to find GCD of 431, 914, 75, 813 on our page.

3. How to find GCD of 431, 914, 75, 813 on a calculator?

You can find the GCD of 431, 914, 75, 813 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.