GCD of 445, 720, 74 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 445, 720, 74 i.e. 1 largest integer that divides all the numbers equally.

GCD of 445, 720, 74 is 1

GCD(445, 720, 74) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 445, 720, 74 is 1

GCD(445, 720, 74) = 1

GCD of 445,720,74 Calculator

GCDof 445,720,74 is 1

Given Input numbers are 445, 720, 74

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

Divisors of 445

List of positive integer divisors of 445 that divides 445 without a remainder.

1, 5, 89, 445

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Greatest Common Divisior

We found the divisors of 445, 720, 74 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 445, 720, 74 is 1.

Therefore, GCD of numbers 445, 720, 74 is 1

Finding GCD of 445, 720, 74 using Prime Factorization

Given Input Data is 445, 720, 74

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

Prime Factorization of 445 is 5 x 89

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 74 is 2 x 37

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 445, 720, 74 using LCM Formula

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(445, 720) = 64080

GCD(445, 720) = ( 445 x 720 ) / 64080

GCD(445, 720) = 320400 / 64080

GCD(445, 720) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 74

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

LCM(5, 74) = 370

GCD(5, 74) = ( 5 x 74 ) / 370

GCD(5, 74) = 370 / 370

GCD(5, 74) = 1

GCD of 445, 720, 74 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 445, 720, 74

1. What is the GCD of 445, 720, 74?

GCD of 445, 720, 74 is 1

2. Where do I get the detailed procedure to find GCD of 445, 720, 74?

You can find a detailed procedure to find GCD of 445, 720, 74 on our page.

3. How to find GCD of 445, 720, 74 on a calculator?

You can find the GCD of 445, 720, 74 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.