GCD of 65, 733, 960, 743 Calculator

Given Input numbers are 65, 733, 960, 743

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

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

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

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Greatest Common Divisior

We found the divisors of 65, 733, 960, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 733, 960, 743 is 1.

Therefore, GCD of numbers 65, 733, 960, 743 is 1

Given Input Data is 65, 733, 960, 743

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

Prime Factorization of 65 is 5 x 13

Prime Factorization of 733 is 733

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

Prime Factorization of 743 is 743

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(65, 733) = 47645

GCD(65, 733) = ( 65 x 733 ) / 47645

GCD(65, 733) = 47645 / 47645

GCD(65, 733) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 743

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

LCM(1, 743) = 743

GCD(1, 743) = ( 1 x 743 ) / 743

GCD(1, 743) = 743 / 743

GCD(1, 743) = 1

GCD of 65, 733, 960, 743 is 1

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1. What is the GCD of 65, 733, 960, 743?

GCD of 65, 733, 960, 743 is 1

2. Where do I get the detailed procedure to find GCD of 65, 733, 960, 743?

You can find a detailed procedure to find GCD of 65, 733, 960, 743 on our page.

3. How to find GCD of 65, 733, 960, 743 on a calculator?

You can find the GCD of 65, 733, 960, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.