GCD of 308, 862, 436, 388 Calculator

Given Input numbers are 308, 862, 436, 388

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

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Greatest Common Divisior

We found the divisors of 308, 862, 436, 388 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 862, 436, 388 is 2.

Therefore, GCD of numbers 308, 862, 436, 388 is 2

Given Input Data is 308, 862, 436, 388

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

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 862 is 2 x 431

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 388 is 2 x 2 x 97

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(308, 862) = 132748

GCD(308, 862) = ( 308 x 862 ) / 132748

GCD(308, 862) = 265496 / 132748

GCD(308, 862) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 436

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

LCM(2, 436) = 436

GCD(2, 436) = ( 2 x 436 ) / 436

GCD(2, 436) = 872 / 436

GCD(2, 436) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 388

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

LCM(2, 388) = 388

GCD(2, 388) = ( 2 x 388 ) / 388

GCD(2, 388) = 776 / 388

GCD(2, 388) = 2

GCD of 308, 862, 436, 388 is 2

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1. What is the GCD of 308, 862, 436, 388?

GCD of 308, 862, 436, 388 is 2

2. Where do I get the detailed procedure to find GCD of 308, 862, 436, 388?

You can find a detailed procedure to find GCD of 308, 862, 436, 388 on our page.

3. How to find GCD of 308, 862, 436, 388 on a calculator?

You can find the GCD of 308, 862, 436, 388 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.