GCD of 196, 344, 138, 196 Calculator

Given Input numbers are 196, 344, 138, 196

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

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

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

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 196, 344, 138, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 344, 138, 196 is 2.

Therefore, GCD of numbers 196, 344, 138, 196 is 2

Given Input Data is 196, 344, 138, 196

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

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

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 138 is 2 x 3 x 23

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(196, 344) = 16856

GCD(196, 344) = ( 196 x 344 ) / 16856

GCD(196, 344) = 67424 / 16856

GCD(196, 344) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 138

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

LCM(4, 138) = 276

GCD(4, 138) = ( 4 x 138 ) / 276

GCD(4, 138) = 552 / 276

GCD(4, 138) = 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 196, 344, 138, 196 is 2

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• GCD of 717, 939, 311, 555
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1. What is the GCD of 196, 344, 138, 196?

GCD of 196, 344, 138, 196 is 2

2. Where do I get the detailed procedure to find GCD of 196, 344, 138, 196?

You can find a detailed procedure to find GCD of 196, 344, 138, 196 on our page.

3. How to find GCD of 196, 344, 138, 196 on a calculator?

You can find the GCD of 196, 344, 138, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.