GCD of 685, 723, 64, 960 Calculator

Given Input numbers are 685, 723, 64, 960

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

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

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 685, 723, 64, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 685, 723, 64, 960 is 1.

Therefore, GCD of numbers 685, 723, 64, 960 is 1

Given Input Data is 685, 723, 64, 960

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

Prime Factorization of 685 is 5 x 137

Prime Factorization of 723 is 3 x 241

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

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(685, 723) = 495255

GCD(685, 723) = ( 685 x 723 ) / 495255

GCD(685, 723) = 495255 / 495255

GCD(685, 723) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 64

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

LCM(1, 64) = 64

GCD(1, 64) = ( 1 x 64 ) / 64

GCD(1, 64) = 64 / 64

GCD(1, 64) = 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 685, 723, 64, 960 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 929, 824, 75, 416
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• GCD of 165, 371, 80, 971

1. What is the GCD of 685, 723, 64, 960?

GCD of 685, 723, 64, 960 is 1

2. Where do I get the detailed procedure to find GCD of 685, 723, 64, 960?

You can find a detailed procedure to find GCD of 685, 723, 64, 960 on our page.

3. How to find GCD of 685, 723, 64, 960 on a calculator?

You can find the GCD of 685, 723, 64, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.