GCD of 286, 188, 49, 427 Calculator

Given Input numbers are 286, 188, 49, 427

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

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Greatest Common Divisior

We found the divisors of 286, 188, 49, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 286, 188, 49, 427 is 1.

Therefore, GCD of numbers 286, 188, 49, 427 is 1

Given Input Data is 286, 188, 49, 427

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

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 49 is 7 x 7

Prime Factorization of 427 is 7 x 61

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(286, 188) = 26884

GCD(286, 188) = ( 286 x 188 ) / 26884

GCD(286, 188) = 53768 / 26884

GCD(286, 188) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 49

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

LCM(2, 49) = 98

GCD(2, 49) = ( 2 x 49 ) / 98

GCD(2, 49) = 98 / 98

GCD(2, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 427

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

LCM(1, 427) = 427

GCD(1, 427) = ( 1 x 427 ) / 427

GCD(1, 427) = 427 / 427

GCD(1, 427) = 1

GCD of 286, 188, 49, 427 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 732, 755, 55, 434
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• GCD of 859, 283, 44, 300
• GCD of 345, 229, 20, 660

1. What is the GCD of 286, 188, 49, 427?

GCD of 286, 188, 49, 427 is 1

2. Where do I get the detailed procedure to find GCD of 286, 188, 49, 427?

You can find a detailed procedure to find GCD of 286, 188, 49, 427 on our page.

3. How to find GCD of 286, 188, 49, 427 on a calculator?

You can find the GCD of 286, 188, 49, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.