GCD of 618, 112, 206, 846 Calculator

Given Input numbers are 618, 112, 206, 846

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

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

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 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Greatest Common Divisior

We found the divisors of 618, 112, 206, 846 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 618, 112, 206, 846 is 2.

Therefore, GCD of numbers 618, 112, 206, 846 is 2

Given Input Data is 618, 112, 206, 846

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

Prime Factorization of 618 is 2 x 3 x 103

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

Prime Factorization of 206 is 2 x 103

Prime Factorization of 846 is 2 x 3 x 3 x 47

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(618, 112) = 34608

GCD(618, 112) = ( 618 x 112 ) / 34608

GCD(618, 112) = 69216 / 34608

GCD(618, 112) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 206

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

LCM(2, 206) = 206

GCD(2, 206) = ( 2 x 206 ) / 206

GCD(2, 206) = 412 / 206

GCD(2, 206) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 846

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

LCM(2, 846) = 846

GCD(2, 846) = ( 2 x 846 ) / 846

GCD(2, 846) = 1692 / 846

GCD(2, 846) = 2

GCD of 618, 112, 206, 846 is 2

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1. What is the GCD of 618, 112, 206, 846?

GCD of 618, 112, 206, 846 is 2

2. Where do I get the detailed procedure to find GCD of 618, 112, 206, 846?

You can find a detailed procedure to find GCD of 618, 112, 206, 846 on our page.

3. How to find GCD of 618, 112, 206, 846 on a calculator?

You can find the GCD of 618, 112, 206, 846 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.