GCD of 424, 314, 53, 343 Calculator

Given Input numbers are 424, 314, 53, 343

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

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

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 424, 314, 53, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 314, 53, 343 is 1.

Therefore, GCD of numbers 424, 314, 53, 343 is 1

Given Input Data is 424, 314, 53, 343

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

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 314 is 2 x 157

Prime Factorization of 53 is 53

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(424, 314) = 66568

GCD(424, 314) = ( 424 x 314 ) / 66568

GCD(424, 314) = 133136 / 66568

GCD(424, 314) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 53

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

LCM(2, 53) = 106

GCD(2, 53) = ( 2 x 53 ) / 106

GCD(2, 53) = 106 / 106

GCD(2, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 343

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

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

GCD(1, 343) = 343 / 343

GCD(1, 343) = 1

GCD of 424, 314, 53, 343 is 1

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• GCD of 324, 915, 22, 148
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1. What is the GCD of 424, 314, 53, 343?

GCD of 424, 314, 53, 343 is 1

2. Where do I get the detailed procedure to find GCD of 424, 314, 53, 343?

You can find a detailed procedure to find GCD of 424, 314, 53, 343 on our page.

3. How to find GCD of 424, 314, 53, 343 on a calculator?

You can find the GCD of 424, 314, 53, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.