GCD of 336, 928, 523, 101 Calculator

Given Input numbers are 336, 928, 523, 101

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

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Greatest Common Divisior

We found the divisors of 336, 928, 523, 101 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 928, 523, 101 is 1.

Therefore, GCD of numbers 336, 928, 523, 101 is 1

Given Input Data is 336, 928, 523, 101

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

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 523 is 523

Prime Factorization of 101 is 101

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(336, 928) = 19488

GCD(336, 928) = ( 336 x 928 ) / 19488

GCD(336, 928) = 311808 / 19488

GCD(336, 928) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 523

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

LCM(16, 523) = 8368

GCD(16, 523) = ( 16 x 523 ) / 8368

GCD(16, 523) = 8368 / 8368

GCD(16, 523) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 101

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

LCM(1, 101) = 101

GCD(1, 101) = ( 1 x 101 ) / 101

GCD(1, 101) = 101 / 101

GCD(1, 101) = 1

GCD of 336, 928, 523, 101 is 1

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1. What is the GCD of 336, 928, 523, 101?

GCD of 336, 928, 523, 101 is 1

2. Where do I get the detailed procedure to find GCD of 336, 928, 523, 101?

You can find a detailed procedure to find GCD of 336, 928, 523, 101 on our page.

3. How to find GCD of 336, 928, 523, 101 on a calculator?

You can find the GCD of 336, 928, 523, 101 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.