GCD of 45, 715, 999, 797 Calculator

Given Input numbers are 45, 715, 999, 797

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

Divisors of 45

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

1, 3, 5, 9, 15, 45

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

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 797

List of positive integer divisors of 797 that divides 797 without a remainder.

1, 797

Greatest Common Divisior

We found the divisors of 45, 715, 999, 797 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 715, 999, 797 is 1.

Therefore, GCD of numbers 45, 715, 999, 797 is 1

Given Input Data is 45, 715, 999, 797

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

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 715 is 5 x 11 x 13

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

Prime Factorization of 797 is 797

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(45, 715) = 6435

GCD(45, 715) = ( 45 x 715 ) / 6435

GCD(45, 715) = 32175 / 6435

GCD(45, 715) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 999

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

LCM(5, 999) = 4995

GCD(5, 999) = ( 5 x 999 ) / 4995

GCD(5, 999) = 4995 / 4995

GCD(5, 999) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 797

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

LCM(1, 797) = 797

GCD(1, 797) = ( 1 x 797 ) / 797

GCD(1, 797) = 797 / 797

GCD(1, 797) = 1

GCD of 45, 715, 999, 797 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 85, 777, 926, 141
• GCD of 64, 555, 598, 478
• GCD of 87, 944, 420, 757
• GCD of 90, 812, 474, 260
• GCD of 78, 447, 219, 759

1. What is the GCD of 45, 715, 999, 797?

GCD of 45, 715, 999, 797 is 1

2. Where do I get the detailed procedure to find GCD of 45, 715, 999, 797?

You can find a detailed procedure to find GCD of 45, 715, 999, 797 on our page.

3. How to find GCD of 45, 715, 999, 797 on a calculator?

You can find the GCD of 45, 715, 999, 797 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.