GCD of 248, 112, 768, 342 Calculator

Given Input numbers are 248, 112, 768, 342

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

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

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 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 248, 112, 768, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 248, 112, 768, 342 is 2.

Therefore, GCD of numbers 248, 112, 768, 342 is 2

Given Input Data is 248, 112, 768, 342

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

Prime Factorization of 248 is 2 x 2 x 2 x 31

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

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 342 is 2 x 3 x 3 x 19

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(248, 112) = 3472

GCD(248, 112) = ( 248 x 112 ) / 3472

GCD(248, 112) = 27776 / 3472

GCD(248, 112) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 768

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

LCM(8, 768) = 768

GCD(8, 768) = ( 8 x 768 ) / 768

GCD(8, 768) = 6144 / 768

GCD(8, 768) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 342

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

LCM(8, 342) = 1368

GCD(8, 342) = ( 8 x 342 ) / 1368

GCD(8, 342) = 2736 / 1368

GCD(8, 342) = 2

GCD of 248, 112, 768, 342 is 2

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1. What is the GCD of 248, 112, 768, 342?

GCD of 248, 112, 768, 342 is 2

2. Where do I get the detailed procedure to find GCD of 248, 112, 768, 342?

You can find a detailed procedure to find GCD of 248, 112, 768, 342 on our page.

3. How to find GCD of 248, 112, 768, 342 on a calculator?

You can find the GCD of 248, 112, 768, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.