GCD of 760, 728, 23, 689 Calculator

Given Input numbers are 760, 728, 23, 689

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

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 760, 728, 23, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 728, 23, 689 is 1.

Therefore, GCD of numbers 760, 728, 23, 689 is 1

Given Input Data is 760, 728, 23, 689

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

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 23 is 23

Prime Factorization of 689 is 13 x 53

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(760, 728) = 69160

GCD(760, 728) = ( 760 x 728 ) / 69160

GCD(760, 728) = 553280 / 69160

GCD(760, 728) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 23

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

LCM(8, 23) = 184

GCD(8, 23) = ( 8 x 23 ) / 184

GCD(8, 23) = 184 / 184

GCD(8, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

GCD of 760, 728, 23, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 828, 111, 94, 970
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• GCD of 233, 472, 37, 260

1. What is the GCD of 760, 728, 23, 689?

GCD of 760, 728, 23, 689 is 1

2. Where do I get the detailed procedure to find GCD of 760, 728, 23, 689?

You can find a detailed procedure to find GCD of 760, 728, 23, 689 on our page.

3. How to find GCD of 760, 728, 23, 689 on a calculator?

You can find the GCD of 760, 728, 23, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.