GCD of 716, 432, 43, 669 Calculator

Given Input numbers are 716, 432, 43, 669

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

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 43

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

1, 43

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Greatest Common Divisior

We found the divisors of 716, 432, 43, 669 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 716, 432, 43, 669 is 1.

Therefore, GCD of numbers 716, 432, 43, 669 is 1

Given Input Data is 716, 432, 43, 669

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

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 43 is 43

Prime Factorization of 669 is 3 x 223

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(716, 432) = 77328

GCD(716, 432) = ( 716 x 432 ) / 77328

GCD(716, 432) = 309312 / 77328

GCD(716, 432) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 43

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

LCM(4, 43) = 172

GCD(4, 43) = ( 4 x 43 ) / 172

GCD(4, 43) = 172 / 172

GCD(4, 43) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 669

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

LCM(1, 669) = 669

GCD(1, 669) = ( 1 x 669 ) / 669

GCD(1, 669) = 669 / 669

GCD(1, 669) = 1

GCD of 716, 432, 43, 669 is 1

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1. What is the GCD of 716, 432, 43, 669?

GCD of 716, 432, 43, 669 is 1

2. Where do I get the detailed procedure to find GCD of 716, 432, 43, 669?

You can find a detailed procedure to find GCD of 716, 432, 43, 669 on our page.

3. How to find GCD of 716, 432, 43, 669 on a calculator?

You can find the GCD of 716, 432, 43, 669 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.