GCD of 330, 536, 158, 112 Calculator

Given Input numbers are 330, 536, 158, 112

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

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

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 330, 536, 158, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 330, 536, 158, 112 is 2.

Therefore, GCD of numbers 330, 536, 158, 112 is 2

Given Input Data is 330, 536, 158, 112

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

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 536 is 2 x 2 x 2 x 67

Prime Factorization of 158 is 2 x 79

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(330, 536) = 88440

GCD(330, 536) = ( 330 x 536 ) / 88440

GCD(330, 536) = 176880 / 88440

GCD(330, 536) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 158

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

LCM(2, 158) = 158

GCD(2, 158) = ( 2 x 158 ) / 158

GCD(2, 158) = 316 / 158

GCD(2, 158) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 112

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

LCM(2, 112) = 112

GCD(2, 112) = ( 2 x 112 ) / 112

GCD(2, 112) = 224 / 112

GCD(2, 112) = 2

GCD of 330, 536, 158, 112 is 2

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1. What is the GCD of 330, 536, 158, 112?

GCD of 330, 536, 158, 112 is 2

2. Where do I get the detailed procedure to find GCD of 330, 536, 158, 112?

You can find a detailed procedure to find GCD of 330, 536, 158, 112 on our page.

3. How to find GCD of 330, 536, 158, 112 on a calculator?

You can find the GCD of 330, 536, 158, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.