GCD of 348, 384, 71, 196 Calculator

Given Input numbers are 348, 384, 71, 196

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

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

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 348, 384, 71, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 384, 71, 196 is 1.

Therefore, GCD of numbers 348, 384, 71, 196 is 1

Given Input Data is 348, 384, 71, 196

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 71 is 71

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

The above numbers do not have any common prime factor. So GCD is 1

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(348, 384) = 11136

GCD(348, 384) = ( 348 x 384 ) / 11136

GCD(348, 384) = 133632 / 11136

GCD(348, 384) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 71

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

LCM(12, 71) = 852

GCD(12, 71) = ( 12 x 71 ) / 852

GCD(12, 71) = 852 / 852

GCD(12, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 196

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

LCM(1, 196) = 196

GCD(1, 196) = ( 1 x 196 ) / 196

GCD(1, 196) = 196 / 196

GCD(1, 196) = 1

GCD of 348, 384, 71, 196 is 1

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• GCD of 987, 738, 48, 580
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1. What is the GCD of 348, 384, 71, 196?

GCD of 348, 384, 71, 196 is 1

2. Where do I get the detailed procedure to find GCD of 348, 384, 71, 196?

You can find a detailed procedure to find GCD of 348, 384, 71, 196 on our page.

3. How to find GCD of 348, 384, 71, 196 on a calculator?

You can find the GCD of 348, 384, 71, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.