GCD of 112, 924, 545, 533 Calculator

Given Input numbers are 112, 924, 545, 533

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

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Greatest Common Divisior

We found the divisors of 112, 924, 545, 533 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 924, 545, 533 is 1.

Therefore, GCD of numbers 112, 924, 545, 533 is 1

Given Input Data is 112, 924, 545, 533

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

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 545 is 5 x 109

Prime Factorization of 533 is 13 x 41

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(112, 924) = 3696

GCD(112, 924) = ( 112 x 924 ) / 3696

GCD(112, 924) = 103488 / 3696

GCD(112, 924) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 545

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

LCM(28, 545) = 15260

GCD(28, 545) = ( 28 x 545 ) / 15260

GCD(28, 545) = 15260 / 15260

GCD(28, 545) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 533

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

LCM(1, 533) = 533

GCD(1, 533) = ( 1 x 533 ) / 533

GCD(1, 533) = 533 / 533

GCD(1, 533) = 1

GCD of 112, 924, 545, 533 is 1

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1. What is the GCD of 112, 924, 545, 533?

GCD of 112, 924, 545, 533 is 1

2. Where do I get the detailed procedure to find GCD of 112, 924, 545, 533?

You can find a detailed procedure to find GCD of 112, 924, 545, 533 on our page.

3. How to find GCD of 112, 924, 545, 533 on a calculator?

You can find the GCD of 112, 924, 545, 533 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.