GCD of 438, 430, 686, 392 Calculator

Given Input numbers are 438, 430, 686, 392

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

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Greatest Common Divisior

We found the divisors of 438, 430, 686, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 430, 686, 392 is 2.

Therefore, GCD of numbers 438, 430, 686, 392 is 2

Given Input Data is 438, 430, 686, 392

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

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 430 is 2 x 5 x 43

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 392 is 2 x 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(438, 430) = 94170

GCD(438, 430) = ( 438 x 430 ) / 94170

GCD(438, 430) = 188340 / 94170

GCD(438, 430) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 686

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

LCM(2, 686) = 686

GCD(2, 686) = ( 2 x 686 ) / 686

GCD(2, 686) = 1372 / 686

GCD(2, 686) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 392

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

LCM(2, 392) = 392

GCD(2, 392) = ( 2 x 392 ) / 392

GCD(2, 392) = 784 / 392

GCD(2, 392) = 2

GCD of 438, 430, 686, 392 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 529, 179, 464, 760
• GCD of 878, 712, 386, 212
• GCD of 142, 526, 931, 239
• GCD of 261, 833, 291, 306
• GCD of 516, 563, 318, 521

1. What is the GCD of 438, 430, 686, 392?

GCD of 438, 430, 686, 392 is 2

2. Where do I get the detailed procedure to find GCD of 438, 430, 686, 392?

You can find a detailed procedure to find GCD of 438, 430, 686, 392 on our page.

3. How to find GCD of 438, 430, 686, 392 on a calculator?

You can find the GCD of 438, 430, 686, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.