GCD of 136, 202, 84, 394 Calculator

Given Input numbers are 136, 202, 84, 394

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

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Greatest Common Divisior

We found the divisors of 136, 202, 84, 394 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 136, 202, 84, 394 is 2.

Therefore, GCD of numbers 136, 202, 84, 394 is 2

Given Input Data is 136, 202, 84, 394

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

Prime Factorization of 136 is 2 x 2 x 2 x 17

Prime Factorization of 202 is 2 x 101

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 394 is 2 x 197

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(136, 202) = 13736

GCD(136, 202) = ( 136 x 202 ) / 13736

GCD(136, 202) = 27472 / 13736

GCD(136, 202) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 84

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

LCM(2, 84) = 84

GCD(2, 84) = ( 2 x 84 ) / 84

GCD(2, 84) = 168 / 84

GCD(2, 84) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 394

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

LCM(2, 394) = 394

GCD(2, 394) = ( 2 x 394 ) / 394

GCD(2, 394) = 788 / 394

GCD(2, 394) = 2

GCD of 136, 202, 84, 394 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 873, 392, 52, 805
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• GCD of 972, 783, 58, 543
• GCD of 679, 793, 99, 304

1. What is the GCD of 136, 202, 84, 394?

GCD of 136, 202, 84, 394 is 2

2. Where do I get the detailed procedure to find GCD of 136, 202, 84, 394?

You can find a detailed procedure to find GCD of 136, 202, 84, 394 on our page.

3. How to find GCD of 136, 202, 84, 394 on a calculator?

You can find the GCD of 136, 202, 84, 394 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.