GCD of 343, 294, 171, 485 Calculator

Given Input numbers are 343, 294, 171, 485

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

Divisors of 343

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

1, 7, 49, 343

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 485

List of positive integer divisors of 485 that divides 485 without a remainder.

1, 5, 97, 485

Greatest Common Divisior

We found the divisors of 343, 294, 171, 485 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 294, 171, 485 is 1.

Therefore, GCD of numbers 343, 294, 171, 485 is 1

Given Input Data is 343, 294, 171, 485

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

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 485 is 5 x 97

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(343, 294) = 2058

GCD(343, 294) = ( 343 x 294 ) / 2058

GCD(343, 294) = 100842 / 2058

GCD(343, 294) = 49

Step2:

Here we consider the GCD from the above i.e. 49 as first number and the next as 171

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

LCM(49, 171) = 8379

GCD(49, 171) = ( 49 x 171 ) / 8379

GCD(49, 171) = 8379 / 8379

GCD(49, 171) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 485

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

LCM(1, 485) = 485

GCD(1, 485) = ( 1 x 485 ) / 485

GCD(1, 485) = 485 / 485

GCD(1, 485) = 1

GCD of 343, 294, 171, 485 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 932, 130, 926, 768
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• GCD of 579, 953, 837, 654

1. What is the GCD of 343, 294, 171, 485?

GCD of 343, 294, 171, 485 is 1

2. Where do I get the detailed procedure to find GCD of 343, 294, 171, 485?

You can find a detailed procedure to find GCD of 343, 294, 171, 485 on our page.

3. How to find GCD of 343, 294, 171, 485 on a calculator?

You can find the GCD of 343, 294, 171, 485 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.