GCD of 43, 648, 431, 679 Calculator

Given Input numbers are 43, 648, 431, 679

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 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 431

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

1, 431

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Greatest Common Divisior

We found the divisors of 43, 648, 431, 679 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 43, 648, 431, 679 is 1.

Therefore, GCD of numbers 43, 648, 431, 679 is 1

Given Input Data is 43, 648, 431, 679

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

Prime Factorization of 43 is 43

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 431 is 431

Prime Factorization of 679 is 7 x 97

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, 648) = 27864

GCD(43, 648) = ( 43 x 648 ) / 27864

GCD(43, 648) = 27864 / 27864

GCD(43, 648) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 679

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

LCM(1, 679) = 679

GCD(1, 679) = ( 1 x 679 ) / 679

GCD(1, 679) = 679 / 679

GCD(1, 679) = 1

GCD of 43, 648, 431, 679 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 92, 914, 993, 776
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• GCD of 51, 879, 461, 258

1. What is the GCD of 43, 648, 431, 679?

GCD of 43, 648, 431, 679 is 1

2. Where do I get the detailed procedure to find GCD of 43, 648, 431, 679?

You can find a detailed procedure to find GCD of 43, 648, 431, 679 on our page.

3. How to find GCD of 43, 648, 431, 679 on a calculator?

You can find the GCD of 43, 648, 431, 679 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.