GCD of 576, 750, 15, 681 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 576, 750, 15, 681 i.e. 3 largest integer that divides all the numbers equally.

GCD of 576, 750, 15, 681 is 3

GCD(576, 750, 15, 681) = 3

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

GCD of

GCD of numbers 576, 750, 15, 681 is 3

GCD(576, 750, 15, 681) = 3

GCD of 576,750,15,681 Calculator

GCDof 576,750,15,681 is 3

Given Input numbers are 576, 750, 15, 681

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

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Greatest Common Divisior

We found the divisors of 576, 750, 15, 681 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 750, 15, 681 is 3.

Therefore, GCD of numbers 576, 750, 15, 681 is 3

Finding GCD of 576, 750, 15, 681 using Prime Factorization

Given Input Data is 576, 750, 15, 681

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

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 15 is 3 x 5

Prime Factorization of 681 is 3 x 227

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 576, 750, 15, 681 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(576, 750) = 72000

GCD(576, 750) = ( 576 x 750 ) / 72000

GCD(576, 750) = 432000 / 72000

GCD(576, 750) = 6


Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 15

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

LCM(6, 15) = 30

GCD(6, 15) = ( 6 x 15 ) / 30

GCD(6, 15) = 90 / 30

GCD(6, 15) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 681

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

LCM(3, 681) = 681

GCD(3, 681) = ( 3 x 681 ) / 681

GCD(3, 681) = 2043 / 681

GCD(3, 681) = 3

GCD of 576, 750, 15, 681 is 3

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 576, 750, 15, 681

1. What is the GCD of 576, 750, 15, 681?

GCD of 576, 750, 15, 681 is 3


2. Where do I get the detailed procedure to find GCD of 576, 750, 15, 681?

You can find a detailed procedure to find GCD of 576, 750, 15, 681 on our page.


3. How to find GCD of 576, 750, 15, 681 on a calculator?

You can find the GCD of 576, 750, 15, 681 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.