GCD of 524, 282, 343 Calculator

Given Input numbers are 524, 282, 343

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

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Greatest Common Divisior

We found the divisors of 524, 282, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 282, 343 is 1.

Therefore, GCD of numbers 524, 282, 343 is 1

Given Input Data is 524, 282, 343

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

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 343 is 7 x 7 x 7

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(524, 282) = 73884

GCD(524, 282) = ( 524 x 282 ) / 73884

GCD(524, 282) = 147768 / 73884

GCD(524, 282) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 343

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

LCM(2, 343) = 686

GCD(2, 343) = ( 2 x 343 ) / 686

GCD(2, 343) = 686 / 686

GCD(2, 343) = 1

GCD of 524, 282, 343 is 1

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1. What is the GCD of 524, 282, 343?

GCD of 524, 282, 343 is 1

2. Where do I get the detailed procedure to find GCD of 524, 282, 343?

You can find a detailed procedure to find GCD of 524, 282, 343 on our page.

3. How to find GCD of 524, 282, 343 on a calculator?

You can find the GCD of 524, 282, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.