GCD of 480, 284, 747 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 480, 284, 747 i.e. 1 largest integer that divides all the numbers equally.

GCD of 480, 284, 747 is 1

GCD(480, 284, 747) = 1

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

GCD of

GCD of numbers 480, 284, 747 is 1

GCD(480, 284, 747) = 1

GCD of 480,284,747 Calculator

GCDof 480,284,747 is 1

Given Input numbers are 480, 284, 747

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

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Greatest Common Divisior

We found the divisors of 480, 284, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 284, 747 is 1.

Therefore, GCD of numbers 480, 284, 747 is 1

Finding GCD of 480, 284, 747 using Prime Factorization

Given Input Data is 480, 284, 747

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

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 747 is 3 x 3 x 83

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

Finding GCD of 480, 284, 747 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(480, 284) = 34080

GCD(480, 284) = ( 480 x 284 ) / 34080

GCD(480, 284) = 136320 / 34080

GCD(480, 284) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 747

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

LCM(4, 747) = 2988

GCD(4, 747) = ( 4 x 747 ) / 2988

GCD(4, 747) = 2988 / 2988

GCD(4, 747) = 1

GCD of 480, 284, 747 is 1

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FAQs on GCD of numbers 480, 284, 747

1. What is the GCD of 480, 284, 747?

GCD of 480, 284, 747 is 1

2. Where do I get the detailed procedure to find GCD of 480, 284, 747?

You can find a detailed procedure to find GCD of 480, 284, 747 on our page.

3. How to find GCD of 480, 284, 747 on a calculator?

You can find the GCD of 480, 284, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.