GCD of 94, 936, 874, 768 Calculator

Given Input numbers are 94, 936, 874, 768

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

Divisors of 94

List of positive integer divisors of 94 that divides 94 without a remainder.

1, 2, 47, 94

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 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

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

Greatest Common Divisior

We found the divisors of 94, 936, 874, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 94, 936, 874, 768 is 2.

Therefore, GCD of numbers 94, 936, 874, 768 is 2

Given Input Data is 94, 936, 874, 768

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

Prime Factorization of 94 is 2 x 47

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 874 is 2 x 19 x 23

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

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(94, 936) = 43992

GCD(94, 936) = ( 94 x 936 ) / 43992

GCD(94, 936) = 87984 / 43992

GCD(94, 936) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 874

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

LCM(2, 874) = 874

GCD(2, 874) = ( 2 x 874 ) / 874

GCD(2, 874) = 1748 / 874

GCD(2, 874) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 768

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

LCM(2, 768) = 768

GCD(2, 768) = ( 2 x 768 ) / 768

GCD(2, 768) = 1536 / 768

GCD(2, 768) = 2

GCD of 94, 936, 874, 768 is 2

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1. What is the GCD of 94, 936, 874, 768?

GCD of 94, 936, 874, 768 is 2

2. Where do I get the detailed procedure to find GCD of 94, 936, 874, 768?

You can find a detailed procedure to find GCD of 94, 936, 874, 768 on our page.

3. How to find GCD of 94, 936, 874, 768 on a calculator?

You can find the GCD of 94, 936, 874, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.