GCD of 528, 656, 130, 547 Calculator

Given Input numbers are 528, 656, 130, 547

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 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 547

List of positive integer divisors of 547 that divides 547 without a remainder.

1, 547

Greatest Common Divisior

We found the divisors of 528, 656, 130, 547 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 656, 130, 547 is 1.

Therefore, GCD of numbers 528, 656, 130, 547 is 1

Given Input Data is 528, 656, 130, 547

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 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 547 is 547

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, 656) = 21648

GCD(528, 656) = ( 528 x 656 ) / 21648

GCD(528, 656) = 346368 / 21648

GCD(528, 656) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 130

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

LCM(16, 130) = 1040

GCD(16, 130) = ( 16 x 130 ) / 1040

GCD(16, 130) = 2080 / 1040

GCD(16, 130) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 547

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

LCM(2, 547) = 1094

GCD(2, 547) = ( 2 x 547 ) / 1094

GCD(2, 547) = 1094 / 1094

GCD(2, 547) = 1

GCD of 528, 656, 130, 547 is 1

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1. What is the GCD of 528, 656, 130, 547?

GCD of 528, 656, 130, 547 is 1

2. Where do I get the detailed procedure to find GCD of 528, 656, 130, 547?

You can find a detailed procedure to find GCD of 528, 656, 130, 547 on our page.

3. How to find GCD of 528, 656, 130, 547 on a calculator?

You can find the GCD of 528, 656, 130, 547 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.