GCD of 168, 784, 527 Calculator

Given Input numbers are 168, 784, 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 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

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, 784, 527 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 784, 527 is 1.

Therefore, GCD of numbers 168, 784, 527 is 1

Given Input Data is 168, 784, 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 784 is 2 x 2 x 2 x 2 x 7 x 7

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, 784) = 2352

GCD(168, 784) = ( 168 x 784 ) / 2352

GCD(168, 784) = 131712 / 2352

GCD(168, 784) = 56

Step2:

Here we consider the GCD from the above i.e. 56 as first number and the next as 527

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

LCM(56, 527) = 29512

GCD(56, 527) = ( 56 x 527 ) / 29512

GCD(56, 527) = 29512 / 29512

GCD(56, 527) = 1

GCD of 168, 784, 527 is 1

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1. What is the GCD of 168, 784, 527?

GCD of 168, 784, 527 is 1

2. Where do I get the detailed procedure to find GCD of 168, 784, 527?

You can find a detailed procedure to find GCD of 168, 784, 527 on our page.

3. How to find GCD of 168, 784, 527 on a calculator?

You can find the GCD of 168, 784, 527 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.