GCD of 528, 679, 560, 729 Calculator

Given Input numbers are 528, 679, 560, 729

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

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 679

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

1, 7, 97, 679

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Greatest Common Divisior

We found the divisors of 528, 679, 560, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 679, 560, 729 is 1.

Therefore, GCD of numbers 528, 679, 560, 729 is 1

Given Input Data is 528, 679, 560, 729

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

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 679 is 7 x 97

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

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(528, 679) = 358512

GCD(528, 679) = ( 528 x 679 ) / 358512

GCD(528, 679) = 358512 / 358512

GCD(528, 679) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 560

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

LCM(1, 560) = 560

GCD(1, 560) = ( 1 x 560 ) / 560

GCD(1, 560) = 560 / 560

GCD(1, 560) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 729

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

LCM(1, 729) = 729

GCD(1, 729) = ( 1 x 729 ) / 729

GCD(1, 729) = 729 / 729

GCD(1, 729) = 1

GCD of 528, 679, 560, 729 is 1

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1. What is the GCD of 528, 679, 560, 729?

GCD of 528, 679, 560, 729 is 1

2. Where do I get the detailed procedure to find GCD of 528, 679, 560, 729?

You can find a detailed procedure to find GCD of 528, 679, 560, 729 on our page.

3. How to find GCD of 528, 679, 560, 729 on a calculator?

You can find the GCD of 528, 679, 560, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.