GCD of 774, 105, 53, 960 Calculator

Given Input numbers are 774, 105, 53, 960

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

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

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 774, 105, 53, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 105, 53, 960 is 1.

Therefore, GCD of numbers 774, 105, 53, 960 is 1

Given Input Data is 774, 105, 53, 960

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

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 53 is 53

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(774, 105) = 27090

GCD(774, 105) = ( 774 x 105 ) / 27090

GCD(774, 105) = 81270 / 27090

GCD(774, 105) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 53

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

LCM(3, 53) = 159

GCD(3, 53) = ( 3 x 53 ) / 159

GCD(3, 53) = 159 / 159

GCD(3, 53) = 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 774, 105, 53, 960 is 1

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1. What is the GCD of 774, 105, 53, 960?

GCD of 774, 105, 53, 960 is 1

2. Where do I get the detailed procedure to find GCD of 774, 105, 53, 960?

You can find a detailed procedure to find GCD of 774, 105, 53, 960 on our page.

3. How to find GCD of 774, 105, 53, 960 on a calculator?

You can find the GCD of 774, 105, 53, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.