GCD of 343, 960, 19, 206 Calculator

Given Input numbers are 343, 960, 19, 206

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 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Greatest Common Divisior

We found the divisors of 343, 960, 19, 206 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 960, 19, 206 is 1.

Therefore, GCD of numbers 343, 960, 19, 206 is 1

Given Input Data is 343, 960, 19, 206

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 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 19 is 19

Prime Factorization of 206 is 2 x 103

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, 960) = 329280

GCD(343, 960) = ( 343 x 960 ) / 329280

GCD(343, 960) = 329280 / 329280

GCD(343, 960) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 19

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

LCM(1, 19) = 19

GCD(1, 19) = ( 1 x 19 ) / 19

GCD(1, 19) = 19 / 19

GCD(1, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 206

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

LCM(1, 206) = 206

GCD(1, 206) = ( 1 x 206 ) / 206

GCD(1, 206) = 206 / 206

GCD(1, 206) = 1

GCD of 343, 960, 19, 206 is 1

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• GCD of 381, 676, 76, 225
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1. What is the GCD of 343, 960, 19, 206?

GCD of 343, 960, 19, 206 is 1

2. Where do I get the detailed procedure to find GCD of 343, 960, 19, 206?

You can find a detailed procedure to find GCD of 343, 960, 19, 206 on our page.

3. How to find GCD of 343, 960, 19, 206 on a calculator?

You can find the GCD of 343, 960, 19, 206 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.