GCD of 898, 336, 752, 196 Calculator

Given Input numbers are 898, 336, 752, 196

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

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Greatest Common Divisior

We found the divisors of 898, 336, 752, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 898, 336, 752, 196 is 2.

Therefore, GCD of numbers 898, 336, 752, 196 is 2

Given Input Data is 898, 336, 752, 196

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

Prime Factorization of 898 is 2 x 449

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 196 is 2 x 2 x 7 x 7

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(898, 336) = 150864

GCD(898, 336) = ( 898 x 336 ) / 150864

GCD(898, 336) = 301728 / 150864

GCD(898, 336) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 752

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

LCM(2, 752) = 752

GCD(2, 752) = ( 2 x 752 ) / 752

GCD(2, 752) = 1504 / 752

GCD(2, 752) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 196

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

LCM(2, 196) = 196

GCD(2, 196) = ( 2 x 196 ) / 196

GCD(2, 196) = 392 / 196

GCD(2, 196) = 2

GCD of 898, 336, 752, 196 is 2

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1. What is the GCD of 898, 336, 752, 196?

GCD of 898, 336, 752, 196 is 2

2. Where do I get the detailed procedure to find GCD of 898, 336, 752, 196?

You can find a detailed procedure to find GCD of 898, 336, 752, 196 on our page.

3. How to find GCD of 898, 336, 752, 196 on a calculator?

You can find the GCD of 898, 336, 752, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.