GCD of 689, 257, 88, 512 Calculator

Given Input numbers are 689, 257, 88, 512

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

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Greatest Common Divisior

We found the divisors of 689, 257, 88, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 257, 88, 512 is 1.

Therefore, GCD of numbers 689, 257, 88, 512 is 1

Given Input Data is 689, 257, 88, 512

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 257 is 257

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 512 is 2 x 2 x 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(689, 257) = 177073

GCD(689, 257) = ( 689 x 257 ) / 177073

GCD(689, 257) = 177073 / 177073

GCD(689, 257) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 88

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

LCM(1, 88) = 88

GCD(1, 88) = ( 1 x 88 ) / 88

GCD(1, 88) = 88 / 88

GCD(1, 88) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 512

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

LCM(1, 512) = 512

GCD(1, 512) = ( 1 x 512 ) / 512

GCD(1, 512) = 512 / 512

GCD(1, 512) = 1

GCD of 689, 257, 88, 512 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 914, 286, 14, 290
• GCD of 905, 136, 67, 748
• GCD of 657, 588, 59, 272
• GCD of 545, 566, 90, 361
• GCD of 653, 114, 13, 776

1. What is the GCD of 689, 257, 88, 512?

GCD of 689, 257, 88, 512 is 1

2. Where do I get the detailed procedure to find GCD of 689, 257, 88, 512?

You can find a detailed procedure to find GCD of 689, 257, 88, 512 on our page.

3. How to find GCD of 689, 257, 88, 512 on a calculator?

You can find the GCD of 689, 257, 88, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.