GCD of 449, 765, 114, 960 Calculator

Given Input numbers are 449, 765, 114, 960

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

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 114

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

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

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Greatest Common Divisior

We found the divisors of 449, 765, 114, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 449, 765, 114, 960 is 1.

Therefore, GCD of numbers 449, 765, 114, 960 is 1

Given Input Data is 449, 765, 114, 960

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

Prime Factorization of 449 is 449

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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(449, 765) = 343485

GCD(449, 765) = ( 449 x 765 ) / 343485

GCD(449, 765) = 343485 / 343485

GCD(449, 765) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 960

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

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

GCD(1, 960) = 960 / 960

GCD(1, 960) = 1

GCD of 449, 765, 114, 960 is 1

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1. What is the GCD of 449, 765, 114, 960?

GCD of 449, 765, 114, 960 is 1

2. Where do I get the detailed procedure to find GCD of 449, 765, 114, 960?

You can find a detailed procedure to find GCD of 449, 765, 114, 960 on our page.

3. How to find GCD of 449, 765, 114, 960 on a calculator?

You can find the GCD of 449, 765, 114, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.