GCD of 728, 526, 887, 658 Calculator

Given Input numbers are 728, 526, 887, 658

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

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Divisors of 887

List of positive integer divisors of 887 that divides 887 without a remainder.

1, 887

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Greatest Common Divisior

We found the divisors of 728, 526, 887, 658 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 526, 887, 658 is 1.

Therefore, GCD of numbers 728, 526, 887, 658 is 1

Given Input Data is 728, 526, 887, 658

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

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 526 is 2 x 263

Prime Factorization of 887 is 887

Prime Factorization of 658 is 2 x 7 x 47

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(728, 526) = 191464

GCD(728, 526) = ( 728 x 526 ) / 191464

GCD(728, 526) = 382928 / 191464

GCD(728, 526) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 887

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

LCM(2, 887) = 1774

GCD(2, 887) = ( 2 x 887 ) / 1774

GCD(2, 887) = 1774 / 1774

GCD(2, 887) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 658

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

LCM(1, 658) = 658

GCD(1, 658) = ( 1 x 658 ) / 658

GCD(1, 658) = 658 / 658

GCD(1, 658) = 1

GCD of 728, 526, 887, 658 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 392, 516, 767, 682
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• GCD of 528, 157, 471, 632
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• GCD of 838, 749, 406, 201

1. What is the GCD of 728, 526, 887, 658?

GCD of 728, 526, 887, 658 is 1

2. Where do I get the detailed procedure to find GCD of 728, 526, 887, 658?

You can find a detailed procedure to find GCD of 728, 526, 887, 658 on our page.

3. How to find GCD of 728, 526, 887, 658 on a calculator?

You can find the GCD of 728, 526, 887, 658 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.