GCD of 368, 936, 98, 424 Calculator

Given Input numbers are 368, 936, 98, 424

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

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 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 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Greatest Common Divisior

We found the divisors of 368, 936, 98, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 368, 936, 98, 424 is 2.

Therefore, GCD of numbers 368, 936, 98, 424 is 2

Given Input Data is 368, 936, 98, 424

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

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

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

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 424 is 2 x 2 x 2 x 53

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(368, 936) = 43056

GCD(368, 936) = ( 368 x 936 ) / 43056

GCD(368, 936) = 344448 / 43056

GCD(368, 936) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 98

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

LCM(8, 98) = 392

GCD(8, 98) = ( 8 x 98 ) / 392

GCD(8, 98) = 784 / 392

GCD(8, 98) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 424

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

LCM(2, 424) = 424

GCD(2, 424) = ( 2 x 424 ) / 424

GCD(2, 424) = 848 / 424

GCD(2, 424) = 2

GCD of 368, 936, 98, 424 is 2

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1. What is the GCD of 368, 936, 98, 424?

GCD of 368, 936, 98, 424 is 2

2. Where do I get the detailed procedure to find GCD of 368, 936, 98, 424?

You can find a detailed procedure to find GCD of 368, 936, 98, 424 on our page.

3. How to find GCD of 368, 936, 98, 424 on a calculator?

You can find the GCD of 368, 936, 98, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.