GCD of 43, 358, 644, 431 Calculator

Given Input numbers are 43, 358, 644, 431

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

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 431

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

1, 431

Greatest Common Divisior

We found the divisors of 43, 358, 644, 431 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 43, 358, 644, 431 is 1.

Therefore, GCD of numbers 43, 358, 644, 431 is 1

Given Input Data is 43, 358, 644, 431

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

Prime Factorization of 43 is 43

Prime Factorization of 358 is 2 x 179

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 431 is 431

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(43, 358) = 15394

GCD(43, 358) = ( 43 x 358 ) / 15394

GCD(43, 358) = 15394 / 15394

GCD(43, 358) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 644

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

LCM(1, 644) = 644

GCD(1, 644) = ( 1 x 644 ) / 644

GCD(1, 644) = 644 / 644

GCD(1, 644) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 431

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

LCM(1, 431) = 431

GCD(1, 431) = ( 1 x 431 ) / 431

GCD(1, 431) = 431 / 431

GCD(1, 431) = 1

GCD of 43, 358, 644, 431 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 49, 240, 921, 351
• GCD of 30, 430, 868, 794
• GCD of 90, 368, 988, 504
• GCD of 24, 154, 712, 473
• GCD of 53, 292, 460, 276

1. What is the GCD of 43, 358, 644, 431?

GCD of 43, 358, 644, 431 is 1

2. Where do I get the detailed procedure to find GCD of 43, 358, 644, 431?

You can find a detailed procedure to find GCD of 43, 358, 644, 431 on our page.

3. How to find GCD of 43, 358, 644, 431 on a calculator?

You can find the GCD of 43, 358, 644, 431 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.