GCD of 768, 436, 311, 123 Calculator

Given Input numbers are 768, 436, 311, 123

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

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 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 768, 436, 311, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 436, 311, 123 is 1.

Therefore, GCD of numbers 768, 436, 311, 123 is 1

Given Input Data is 768, 436, 311, 123

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

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 436 is 2 x 2 x 109

Prime Factorization of 311 is 311

Prime Factorization of 123 is 3 x 41

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(768, 436) = 83712

GCD(768, 436) = ( 768 x 436 ) / 83712

GCD(768, 436) = 334848 / 83712

GCD(768, 436) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 311

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

LCM(4, 311) = 1244

GCD(4, 311) = ( 4 x 311 ) / 1244

GCD(4, 311) = 1244 / 1244

GCD(4, 311) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 123

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

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

GCD(1, 123) = 123 / 123

GCD(1, 123) = 1

GCD of 768, 436, 311, 123 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 428, 741, 189, 417
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• GCD of 708, 775, 941, 371
• GCD of 235, 262, 608, 122
• GCD of 872, 893, 333, 861

1. What is the GCD of 768, 436, 311, 123?

GCD of 768, 436, 311, 123 is 1

2. Where do I get the detailed procedure to find GCD of 768, 436, 311, 123?

You can find a detailed procedure to find GCD of 768, 436, 311, 123 on our page.

3. How to find GCD of 768, 436, 311, 123 on a calculator?

You can find the GCD of 768, 436, 311, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.