GCD of 348, 534, 392, 284 Calculator

Given Input numbers are 348, 534, 392, 284

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 534

List of positive integer divisors of 534 that divides 534 without a remainder.

1, 2, 3, 6, 89, 178, 267, 534

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

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Greatest Common Divisior

We found the divisors of 348, 534, 392, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 534, 392, 284 is 2.

Therefore, GCD of numbers 348, 534, 392, 284 is 2

Given Input Data is 348, 534, 392, 284

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 534 is 2 x 3 x 89

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 284 is 2 x 2 x 71

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(348, 534) = 30972

GCD(348, 534) = ( 348 x 534 ) / 30972

GCD(348, 534) = 185832 / 30972

GCD(348, 534) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 392

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

LCM(6, 392) = 1176

GCD(6, 392) = ( 6 x 392 ) / 1176

GCD(6, 392) = 2352 / 1176

GCD(6, 392) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 284

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

LCM(2, 284) = 284

GCD(2, 284) = ( 2 x 284 ) / 284

GCD(2, 284) = 568 / 284

GCD(2, 284) = 2

GCD of 348, 534, 392, 284 is 2

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1. What is the GCD of 348, 534, 392, 284?

GCD of 348, 534, 392, 284 is 2

2. Where do I get the detailed procedure to find GCD of 348, 534, 392, 284?

You can find a detailed procedure to find GCD of 348, 534, 392, 284 on our page.

3. How to find GCD of 348, 534, 392, 284 on a calculator?

You can find the GCD of 348, 534, 392, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.