GCD of 920, 316, 45, 723 Calculator

Given Input numbers are 920, 316, 45, 723

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 45

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

1, 3, 5, 9, 15, 45

Divisors of 723

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

1, 3, 241, 723

Greatest Common Divisior

We found the divisors of 920, 316, 45, 723 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 316, 45, 723 is 1.

Therefore, GCD of numbers 920, 316, 45, 723 is 1

Given Input Data is 920, 316, 45, 723

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 723 is 3 x 241

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(920, 316) = 72680

GCD(920, 316) = ( 920 x 316 ) / 72680

GCD(920, 316) = 290720 / 72680

GCD(920, 316) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 45

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

LCM(4, 45) = 180

GCD(4, 45) = ( 4 x 45 ) / 180

GCD(4, 45) = 180 / 180

GCD(4, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 723

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

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

GCD(1, 723) = 723 / 723

GCD(1, 723) = 1

GCD of 920, 316, 45, 723 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 280, 349, 87, 373
• GCD of 452, 344, 58, 197
• GCD of 506, 772, 24, 925
• GCD of 453, 563, 25, 259
• GCD of 199, 770, 65, 475

1. What is the GCD of 920, 316, 45, 723?

GCD of 920, 316, 45, 723 is 1

2. Where do I get the detailed procedure to find GCD of 920, 316, 45, 723?

You can find a detailed procedure to find GCD of 920, 316, 45, 723 on our page.

3. How to find GCD of 920, 316, 45, 723 on a calculator?

You can find the GCD of 920, 316, 45, 723 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.