GCD of 736, 999, 45, 739 Calculator

Given Input numbers are 736, 999, 45, 739

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

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Greatest Common Divisior

We found the divisors of 736, 999, 45, 739 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 999, 45, 739 is 1.

Therefore, GCD of numbers 736, 999, 45, 739 is 1

Given Input Data is 736, 999, 45, 739

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

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 739 is 739

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(736, 999) = 735264

GCD(736, 999) = ( 736 x 999 ) / 735264

GCD(736, 999) = 735264 / 735264

GCD(736, 999) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 739

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

LCM(1, 739) = 739

GCD(1, 739) = ( 1 x 739 ) / 739

GCD(1, 739) = 739 / 739

GCD(1, 739) = 1

GCD of 736, 999, 45, 739 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 195, 437, 13, 270
• GCD of 335, 984, 57, 240
• GCD of 992, 453, 66, 321
• GCD of 125, 316, 49, 267
• GCD of 975, 388, 49, 115

1. What is the GCD of 736, 999, 45, 739?

GCD of 736, 999, 45, 739 is 1

2. Where do I get the detailed procedure to find GCD of 736, 999, 45, 739?

You can find a detailed procedure to find GCD of 736, 999, 45, 739 on our page.

3. How to find GCD of 736, 999, 45, 739 on a calculator?

You can find the GCD of 736, 999, 45, 739 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.