GCD of 588, 714, 19, 178 Calculator

Given Input numbers are 588, 714, 19, 178

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 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Greatest Common Divisior

We found the divisors of 588, 714, 19, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 714, 19, 178 is 1.

Therefore, GCD of numbers 588, 714, 19, 178 is 1

Given Input Data is 588, 714, 19, 178

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 714 is 2 x 3 x 7 x 17

Prime Factorization of 19 is 19

Prime Factorization of 178 is 2 x 89

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, 714) = 9996

GCD(588, 714) = ( 588 x 714 ) / 9996

GCD(588, 714) = 419832 / 9996

GCD(588, 714) = 42

Step2:

Here we consider the GCD from the above i.e. 42 as first number and the next as 19

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

LCM(42, 19) = 798

GCD(42, 19) = ( 42 x 19 ) / 798

GCD(42, 19) = 798 / 798

GCD(42, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 178

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

LCM(1, 178) = 178

GCD(1, 178) = ( 1 x 178 ) / 178

GCD(1, 178) = 178 / 178

GCD(1, 178) = 1

GCD of 588, 714, 19, 178 is 1

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• GCD of 435, 691, 57, 948
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• GCD of 757, 523, 64, 214

1. What is the GCD of 588, 714, 19, 178?

GCD of 588, 714, 19, 178 is 1

2. Where do I get the detailed procedure to find GCD of 588, 714, 19, 178?

You can find a detailed procedure to find GCD of 588, 714, 19, 178 on our page.

3. How to find GCD of 588, 714, 19, 178 on a calculator?

You can find the GCD of 588, 714, 19, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.