GCD of 314, 553, 768, 330 Calculator

Given Input numbers are 314, 553, 768, 330

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

Divisors of 314

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

1, 2, 157, 314

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

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 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Greatest Common Divisior

We found the divisors of 314, 553, 768, 330 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 553, 768, 330 is 1.

Therefore, GCD of numbers 314, 553, 768, 330 is 1

Given Input Data is 314, 553, 768, 330

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 553 is 7 x 79

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 330 is 2 x 3 x 5 x 11

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(314, 553) = 173642

GCD(314, 553) = ( 314 x 553 ) / 173642

GCD(314, 553) = 173642 / 173642

GCD(314, 553) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 768

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

LCM(1, 768) = 768

GCD(1, 768) = ( 1 x 768 ) / 768

GCD(1, 768) = 768 / 768

GCD(1, 768) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 330

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

LCM(1, 330) = 330

GCD(1, 330) = ( 1 x 330 ) / 330

GCD(1, 330) = 330 / 330

GCD(1, 330) = 1

GCD of 314, 553, 768, 330 is 1

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1. What is the GCD of 314, 553, 768, 330?

GCD of 314, 553, 768, 330 is 1

2. Where do I get the detailed procedure to find GCD of 314, 553, 768, 330?

You can find a detailed procedure to find GCD of 314, 553, 768, 330 on our page.

3. How to find GCD of 314, 553, 768, 330 on a calculator?

You can find the GCD of 314, 553, 768, 330 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.