GCD of 768, 345, 76, 114 Calculator

Given Input numbers are 768, 345, 76, 114

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 345

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

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

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 768, 345, 76, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 345, 76, 114 is 1.

Therefore, GCD of numbers 768, 345, 76, 114 is 1

Given Input Data is 768, 345, 76, 114

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 345 is 3 x 5 x 23

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 114 is 2 x 3 x 19

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, 345) = 88320

GCD(768, 345) = ( 768 x 345 ) / 88320

GCD(768, 345) = 264960 / 88320

GCD(768, 345) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 76

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

LCM(3, 76) = 228

GCD(3, 76) = ( 3 x 76 ) / 228

GCD(3, 76) = 228 / 228

GCD(3, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

GCD of 768, 345, 76, 114 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 895, 554, 67, 536
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• GCD of 753, 391, 25, 418

1. What is the GCD of 768, 345, 76, 114?

GCD of 768, 345, 76, 114 is 1

2. Where do I get the detailed procedure to find GCD of 768, 345, 76, 114?

You can find a detailed procedure to find GCD of 768, 345, 76, 114 on our page.

3. How to find GCD of 768, 345, 76, 114 on a calculator?

You can find the GCD of 768, 345, 76, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.