GCD of 588, 707, 10, 128 Calculator

Given Input numbers are 588, 707, 10, 128

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

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Greatest Common Divisior

We found the divisors of 588, 707, 10, 128 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 707, 10, 128 is 1.

Therefore, GCD of numbers 588, 707, 10, 128 is 1

Given Input Data is 588, 707, 10, 128

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

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 707 is 7 x 101

Prime Factorization of 10 is 2 x 5

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

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(588, 707) = 59388

GCD(588, 707) = ( 588 x 707 ) / 59388

GCD(588, 707) = 415716 / 59388

GCD(588, 707) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 10

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

LCM(7, 10) = 70

GCD(7, 10) = ( 7 x 10 ) / 70

GCD(7, 10) = 70 / 70

GCD(7, 10) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 128

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

LCM(1, 128) = 128

GCD(1, 128) = ( 1 x 128 ) / 128

GCD(1, 128) = 128 / 128

GCD(1, 128) = 1

GCD of 588, 707, 10, 128 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 228, 660, 26, 764
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• GCD of 816, 477, 40, 781

1. What is the GCD of 588, 707, 10, 128?

GCD of 588, 707, 10, 128 is 1

2. Where do I get the detailed procedure to find GCD of 588, 707, 10, 128?

You can find a detailed procedure to find GCD of 588, 707, 10, 128 on our page.

3. How to find GCD of 588, 707, 10, 128 on a calculator?

You can find the GCD of 588, 707, 10, 128 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.