GCD of 319, 901, 69, 768 Calculator

Given Input numbers are 319, 901, 69, 768

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

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

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

Greatest Common Divisior

We found the divisors of 319, 901, 69, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 319, 901, 69, 768 is 1.

Therefore, GCD of numbers 319, 901, 69, 768 is 1

Given Input Data is 319, 901, 69, 768

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

Prime Factorization of 319 is 11 x 29

Prime Factorization of 901 is 17 x 53

Prime Factorization of 69 is 3 x 23

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

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(319, 901) = 287419

GCD(319, 901) = ( 319 x 901 ) / 287419

GCD(319, 901) = 287419 / 287419

GCD(319, 901) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1

Step3:

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

GCD of 319, 901, 69, 768 is 1

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• GCD of 676, 263, 28, 411
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1. What is the GCD of 319, 901, 69, 768?

GCD of 319, 901, 69, 768 is 1

2. Where do I get the detailed procedure to find GCD of 319, 901, 69, 768?

You can find a detailed procedure to find GCD of 319, 901, 69, 768 on our page.

3. How to find GCD of 319, 901, 69, 768 on a calculator?

You can find the GCD of 319, 901, 69, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.