GCD of 60, 440, 885, 520 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 60, 440, 885, 520 i.e. 5 largest integer that divides all the numbers equally.

GCD of 60, 440, 885, 520 is 5

GCD(60, 440, 885, 520) = 5

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

GCD of

GCD of numbers 60, 440, 885, 520 is 5

GCD(60, 440, 885, 520) = 5

GCD of 60,440,885,520 Calculator

GCDof 60,440,885,520 is 5

Given Input numbers are 60, 440, 885, 520

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

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 885

List of positive integer divisors of 885 that divides 885 without a remainder.

1, 3, 5, 15, 59, 177, 295, 885

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Greatest Common Divisior

We found the divisors of 60, 440, 885, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 440, 885, 520 is 5.

Therefore, GCD of numbers 60, 440, 885, 520 is 5

Finding GCD of 60, 440, 885, 520 using Prime Factorization

Given Input Data is 60, 440, 885, 520

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

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 885 is 3 x 5 x 59

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Highest common occurrences in the given inputs are 51

Multiplying them we get the GCD as 5

Finding GCD of 60, 440, 885, 520 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(60, 440) = 1320

GCD(60, 440) = ( 60 x 440 ) / 1320

GCD(60, 440) = 26400 / 1320

GCD(60, 440) = 20


Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 885

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

LCM(20, 885) = 3540

GCD(20, 885) = ( 20 x 885 ) / 3540

GCD(20, 885) = 17700 / 3540

GCD(20, 885) = 5


Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 520

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

LCM(5, 520) = 520

GCD(5, 520) = ( 5 x 520 ) / 520

GCD(5, 520) = 2600 / 520

GCD(5, 520) = 5

GCD of 60, 440, 885, 520 is 5

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 60, 440, 885, 520

1. What is the GCD of 60, 440, 885, 520?

GCD of 60, 440, 885, 520 is 5


2. Where do I get the detailed procedure to find GCD of 60, 440, 885, 520?

You can find a detailed procedure to find GCD of 60, 440, 885, 520 on our page.


3. How to find GCD of 60, 440, 885, 520 on a calculator?

You can find the GCD of 60, 440, 885, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.