GCD of 768, 936, 368, 846 Calculator

Given Input numbers are 768, 936, 368, 846

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

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 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

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 768, 936, 368, 846 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 936, 368, 846 is 2.

Therefore, GCD of numbers 768, 936, 368, 846 is 2

Given Input Data is 768, 936, 368, 846

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

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 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

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(768, 936) = 29952

GCD(768, 936) = ( 768 x 936 ) / 29952

GCD(768, 936) = 718848 / 29952

GCD(768, 936) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 368

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

LCM(24, 368) = 1104

GCD(24, 368) = ( 24 x 368 ) / 1104

GCD(24, 368) = 8832 / 1104

GCD(24, 368) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 846

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

LCM(8, 846) = 3384

GCD(8, 846) = ( 8 x 846 ) / 3384

GCD(8, 846) = 6768 / 3384

GCD(8, 846) = 2

GCD of 768, 936, 368, 846 is 2

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1. What is the GCD of 768, 936, 368, 846?

GCD of 768, 936, 368, 846 is 2

2. Where do I get the detailed procedure to find GCD of 768, 936, 368, 846?

You can find a detailed procedure to find GCD of 768, 936, 368, 846 on our page.

3. How to find GCD of 768, 936, 368, 846 on a calculator?

You can find the GCD of 768, 936, 368, 846 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.