GCD of 343, 679, 33, 240 Calculator

Given Input numbers are 343, 679, 33, 240

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 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Greatest Common Divisior

We found the divisors of 343, 679, 33, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 679, 33, 240 is 1.

Therefore, GCD of numbers 343, 679, 33, 240 is 1

Given Input Data is 343, 679, 33, 240

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 679 is 7 x 97

Prime Factorization of 33 is 3 x 11

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

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, 679) = 33271

GCD(343, 679) = ( 343 x 679 ) / 33271

GCD(343, 679) = 232897 / 33271

GCD(343, 679) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 33

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

LCM(7, 33) = 231

GCD(7, 33) = ( 7 x 33 ) / 231

GCD(7, 33) = 231 / 231

GCD(7, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 240

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

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

GCD(1, 240) = 240 / 240

GCD(1, 240) = 1

GCD of 343, 679, 33, 240 is 1

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1. What is the GCD of 343, 679, 33, 240?

GCD of 343, 679, 33, 240 is 1

2. Where do I get the detailed procedure to find GCD of 343, 679, 33, 240?

You can find a detailed procedure to find GCD of 343, 679, 33, 240 on our page.

3. How to find GCD of 343, 679, 33, 240 on a calculator?

You can find the GCD of 343, 679, 33, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.