GCD of 533, 856, 754, 112 Calculator

Given Input numbers are 533, 856, 754, 112

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

Divisors of 533

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

1, 13, 41, 533

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

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

Greatest Common Divisior

We found the divisors of 533, 856, 754, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 533, 856, 754, 112 is 1.

Therefore, GCD of numbers 533, 856, 754, 112 is 1

Given Input Data is 533, 856, 754, 112

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

Prime Factorization of 533 is 13 x 41

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 754 is 2 x 13 x 29

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

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(533, 856) = 456248

GCD(533, 856) = ( 533 x 856 ) / 456248

GCD(533, 856) = 456248 / 456248

GCD(533, 856) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 754

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

LCM(1, 754) = 754

GCD(1, 754) = ( 1 x 754 ) / 754

GCD(1, 754) = 754 / 754

GCD(1, 754) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

GCD of 533, 856, 754, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 520, 419, 956, 577
• GCD of 261, 805, 421, 508
• GCD of 418, 712, 663, 887
• GCD of 395, 705, 719, 480
• GCD of 564, 172, 432, 394

1. What is the GCD of 533, 856, 754, 112?

GCD of 533, 856, 754, 112 is 1

2. Where do I get the detailed procedure to find GCD of 533, 856, 754, 112?

You can find a detailed procedure to find GCD of 533, 856, 754, 112 on our page.

3. How to find GCD of 533, 856, 754, 112 on a calculator?

You can find the GCD of 533, 856, 754, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.