GCD of 768, 510, 43, 345 Calculator

Given Input numbers are 768, 510, 43, 345

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 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Greatest Common Divisior

We found the divisors of 768, 510, 43, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 510, 43, 345 is 1.

Therefore, GCD of numbers 768, 510, 43, 345 is 1

Given Input Data is 768, 510, 43, 345

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 510 is 2 x 3 x 5 x 17

Prime Factorization of 43 is 43

Prime Factorization of 345 is 3 x 5 x 23

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, 510) = 65280

GCD(768, 510) = ( 768 x 510 ) / 65280

GCD(768, 510) = 391680 / 65280

GCD(768, 510) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 43

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

LCM(6, 43) = 258

GCD(6, 43) = ( 6 x 43 ) / 258

GCD(6, 43) = 258 / 258

GCD(6, 43) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

GCD of 768, 510, 43, 345 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 936, 251, 93, 831
• GCD of 586, 489, 18, 116
• GCD of 335, 237, 39, 608
• GCD of 407, 150, 13, 959
• GCD of 786, 934, 20, 227

1. What is the GCD of 768, 510, 43, 345?

GCD of 768, 510, 43, 345 is 1

2. Where do I get the detailed procedure to find GCD of 768, 510, 43, 345?

You can find a detailed procedure to find GCD of 768, 510, 43, 345 on our page.

3. How to find GCD of 768, 510, 43, 345 on a calculator?

You can find the GCD of 768, 510, 43, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.