GCD of 688, 319, 205, 429 Calculator

Given Input numbers are 688, 319, 205, 429

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

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Greatest Common Divisior

We found the divisors of 688, 319, 205, 429 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 319, 205, 429 is 1.

Therefore, GCD of numbers 688, 319, 205, 429 is 1

Given Input Data is 688, 319, 205, 429

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

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 319 is 11 x 29

Prime Factorization of 205 is 5 x 41

Prime Factorization of 429 is 3 x 11 x 13

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(688, 319) = 219472

GCD(688, 319) = ( 688 x 319 ) / 219472

GCD(688, 319) = 219472 / 219472

GCD(688, 319) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 205

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

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

GCD(1, 205) = 205 / 205

GCD(1, 205) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 429

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

LCM(1, 429) = 429

GCD(1, 429) = ( 1 x 429 ) / 429

GCD(1, 429) = 429 / 429

GCD(1, 429) = 1

GCD of 688, 319, 205, 429 is 1

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1. What is the GCD of 688, 319, 205, 429?

GCD of 688, 319, 205, 429 is 1

2. Where do I get the detailed procedure to find GCD of 688, 319, 205, 429?

You can find a detailed procedure to find GCD of 688, 319, 205, 429 on our page.

3. How to find GCD of 688, 319, 205, 429 on a calculator?

You can find the GCD of 688, 319, 205, 429 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.