GCD of 511, 896, 14, 659 Calculator

Given Input numbers are 511, 896, 14, 659

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

Divisors of 511

List of positive integer divisors of 511 that divides 511 without a remainder.

1, 7, 73, 511

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Greatest Common Divisior

We found the divisors of 511, 896, 14, 659 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 511, 896, 14, 659 is 1.

Therefore, GCD of numbers 511, 896, 14, 659 is 1

Given Input Data is 511, 896, 14, 659

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

Prime Factorization of 511 is 7 x 73

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 14 is 2 x 7

Prime Factorization of 659 is 659

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(511, 896) = 65408

GCD(511, 896) = ( 511 x 896 ) / 65408

GCD(511, 896) = 457856 / 65408

GCD(511, 896) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 14

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

LCM(7, 14) = 14

GCD(7, 14) = ( 7 x 14 ) / 14

GCD(7, 14) = 98 / 14

GCD(7, 14) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 659

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

LCM(7, 659) = 4613

GCD(7, 659) = ( 7 x 659 ) / 4613

GCD(7, 659) = 4613 / 4613

GCD(7, 659) = 1

GCD of 511, 896, 14, 659 is 1

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• GCD of 329, 266, 96, 250
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1. What is the GCD of 511, 896, 14, 659?

GCD of 511, 896, 14, 659 is 1

2. Where do I get the detailed procedure to find GCD of 511, 896, 14, 659?

You can find a detailed procedure to find GCD of 511, 896, 14, 659 on our page.

3. How to find GCD of 511, 896, 14, 659 on a calculator?

You can find the GCD of 511, 896, 14, 659 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.