GCD of 517, 777, 145, 960 Calculator

Given Input numbers are 517, 777, 145, 960

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

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Divisors of 777

List of positive integer divisors of 777 that divides 777 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

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 517, 777, 145, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 517, 777, 145, 960 is 1.

Therefore, GCD of numbers 517, 777, 145, 960 is 1

Given Input Data is 517, 777, 145, 960

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

Prime Factorization of 517 is 11 x 47

Prime Factorization of 777 is 3 x 7 x 37

Prime Factorization of 145 is 5 x 29

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(517, 777) = 401709

GCD(517, 777) = ( 517 x 777 ) / 401709

GCD(517, 777) = 401709 / 401709

GCD(517, 777) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 145

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

LCM(1, 145) = 145

GCD(1, 145) = ( 1 x 145 ) / 145

GCD(1, 145) = 145 / 145

GCD(1, 145) = 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 517, 777, 145, 960 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 522, 945, 689, 604
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• GCD of 291, 200, 842, 916

1. What is the GCD of 517, 777, 145, 960?

GCD of 517, 777, 145, 960 is 1

2. Where do I get the detailed procedure to find GCD of 517, 777, 145, 960?

You can find a detailed procedure to find GCD of 517, 777, 145, 960 on our page.

3. How to find GCD of 517, 777, 145, 960 on a calculator?

You can find the GCD of 517, 777, 145, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.