GCD of 544, 717, 345, 672 Calculator

Given Input numbers are 544, 717, 345, 672

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

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Greatest Common Divisior

We found the divisors of 544, 717, 345, 672 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 544, 717, 345, 672 is 1.

Therefore, GCD of numbers 544, 717, 345, 672 is 1

Given Input Data is 544, 717, 345, 672

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

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

Prime Factorization of 717 is 3 x 239

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

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(544, 717) = 390048

GCD(544, 717) = ( 544 x 717 ) / 390048

GCD(544, 717) = 390048 / 390048

GCD(544, 717) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 672

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

LCM(1, 672) = 672

GCD(1, 672) = ( 1 x 672 ) / 672

GCD(1, 672) = 672 / 672

GCD(1, 672) = 1

GCD of 544, 717, 345, 672 is 1

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1. What is the GCD of 544, 717, 345, 672?

GCD of 544, 717, 345, 672 is 1

2. Where do I get the detailed procedure to find GCD of 544, 717, 345, 672?

You can find a detailed procedure to find GCD of 544, 717, 345, 672 on our page.

3. How to find GCD of 544, 717, 345, 672 on a calculator?

You can find the GCD of 544, 717, 345, 672 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.