GCD of 588, 678, 83, 229 Calculator

Given Input numbers are 588, 678, 83, 229

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 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Greatest Common Divisior

We found the divisors of 588, 678, 83, 229 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 678, 83, 229 is 1.

Therefore, GCD of numbers 588, 678, 83, 229 is 1

Given Input Data is 588, 678, 83, 229

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 678 is 2 x 3 x 113

Prime Factorization of 83 is 83

Prime Factorization of 229 is 229

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, 678) = 66444

GCD(588, 678) = ( 588 x 678 ) / 66444

GCD(588, 678) = 398664 / 66444

GCD(588, 678) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 83

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

LCM(6, 83) = 498

GCD(6, 83) = ( 6 x 83 ) / 498

GCD(6, 83) = 498 / 498

GCD(6, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 229

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

LCM(1, 229) = 229

GCD(1, 229) = ( 1 x 229 ) / 229

GCD(1, 229) = 229 / 229

GCD(1, 229) = 1

GCD of 588, 678, 83, 229 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 178, 612, 51, 729
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• GCD of 331, 227, 80, 697
• GCD of 555, 420, 56, 378
• GCD of 492, 649, 96, 930

1. What is the GCD of 588, 678, 83, 229?

GCD of 588, 678, 83, 229 is 1

2. Where do I get the detailed procedure to find GCD of 588, 678, 83, 229?

You can find a detailed procedure to find GCD of 588, 678, 83, 229 on our page.

3. How to find GCD of 588, 678, 83, 229 on a calculator?

You can find the GCD of 588, 678, 83, 229 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.