GCD of 480, 901, 680 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, 901, 680 i.e. 1 largest integer that divides all the numbers equally.

GCD of 480, 901, 680 is 1

GCD(480, 901, 680) = 1

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

GCD of

GCD of numbers 480, 901, 680 is 1

GCD(480, 901, 680) = 1

GCD of 480,901,680 Calculator

GCDof 480,901,680 is 1

Given Input numbers are 480, 901, 680

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 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Greatest Common Divisior

We found the divisors of 480, 901, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 901, 680 is 1.

Therefore, GCD of numbers 480, 901, 680 is 1

Finding GCD of 480, 901, 680 using Prime Factorization

Given Input Data is 480, 901, 680

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 901 is 17 x 53

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

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

Finding GCD of 480, 901, 680 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, 901) = 432480

GCD(480, 901) = ( 480 x 901 ) / 432480

GCD(480, 901) = 432480 / 432480

GCD(480, 901) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 680

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

LCM(1, 680) = 680

GCD(1, 680) = ( 1 x 680 ) / 680

GCD(1, 680) = 680 / 680

GCD(1, 680) = 1

GCD of 480, 901, 680 is 1

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 480, 901, 680

1. What is the GCD of 480, 901, 680?

GCD of 480, 901, 680 is 1

2. Where do I get the detailed procedure to find GCD of 480, 901, 680?

You can find a detailed procedure to find GCD of 480, 901, 680 on our page.

3. How to find GCD of 480, 901, 680 on a calculator?

You can find the GCD of 480, 901, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.