GCD of 168, 896, 20, 527 Calculator

Given Input numbers are 168, 896, 20, 527

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

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

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 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Greatest Common Divisior

We found the divisors of 168, 896, 20, 527 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 896, 20, 527 is 1.

Therefore, GCD of numbers 168, 896, 20, 527 is 1

Given Input Data is 168, 896, 20, 527

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

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 527 is 17 x 31

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(168, 896) = 2688

GCD(168, 896) = ( 168 x 896 ) / 2688

GCD(168, 896) = 150528 / 2688

GCD(168, 896) = 56

Step2:

Here we consider the GCD from the above i.e. 56 as first number and the next as 20

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

LCM(56, 20) = 280

GCD(56, 20) = ( 56 x 20 ) / 280

GCD(56, 20) = 1120 / 280

GCD(56, 20) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 527

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

LCM(4, 527) = 2108

GCD(4, 527) = ( 4 x 527 ) / 2108

GCD(4, 527) = 2108 / 2108

GCD(4, 527) = 1

GCD of 168, 896, 20, 527 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 114, 231, 56, 127
• GCD of 845, 252, 98, 822
• GCD of 408, 717, 56, 950
• GCD of 848, 924, 21, 386
• GCD of 328, 748, 35, 208

1. What is the GCD of 168, 896, 20, 527?

GCD of 168, 896, 20, 527 is 1

2. Where do I get the detailed procedure to find GCD of 168, 896, 20, 527?

You can find a detailed procedure to find GCD of 168, 896, 20, 527 on our page.

3. How to find GCD of 168, 896, 20, 527 on a calculator?

You can find the GCD of 168, 896, 20, 527 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.