GCD of 159, 738, 768, 343 Calculator

Given Input numbers are 159, 738, 768, 343

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

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

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 159, 738, 768, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 738, 768, 343 is 1.

Therefore, GCD of numbers 159, 738, 768, 343 is 1

Given Input Data is 159, 738, 768, 343

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

Prime Factorization of 159 is 3 x 53

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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(159, 738) = 39114

GCD(159, 738) = ( 159 x 738 ) / 39114

GCD(159, 738) = 117342 / 39114

GCD(159, 738) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 768

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

LCM(3, 768) = 768

GCD(3, 768) = ( 3 x 768 ) / 768

GCD(3, 768) = 2304 / 768

GCD(3, 768) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 343

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

LCM(3, 343) = 1029

GCD(3, 343) = ( 3 x 343 ) / 1029

GCD(3, 343) = 1029 / 1029

GCD(3, 343) = 1

GCD of 159, 738, 768, 343 is 1

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1. What is the GCD of 159, 738, 768, 343?

GCD of 159, 738, 768, 343 is 1

2. Where do I get the detailed procedure to find GCD of 159, 738, 768, 343?

You can find a detailed procedure to find GCD of 159, 738, 768, 343 on our page.

3. How to find GCD of 159, 738, 768, 343 on a calculator?

You can find the GCD of 159, 738, 768, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.