GCD of 885, 725, 45, 440 Calculator

Given Input numbers are 885, 725, 45, 440

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

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 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

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

Greatest Common Divisior

We found the divisors of 885, 725, 45, 440 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 885, 725, 45, 440 is 5.

Therefore, GCD of numbers 885, 725, 45, 440 is 5

Given Input Data is 885, 725, 45, 440

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

Prime Factorization of 885 is 3 x 5 x 59

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 45 is 3 x 3 x 5

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

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(885, 725) = 128325

GCD(885, 725) = ( 885 x 725 ) / 128325

GCD(885, 725) = 641625 / 128325

GCD(885, 725) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 45

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

LCM(5, 45) = 45

GCD(5, 45) = ( 5 x 45 ) / 45

GCD(5, 45) = 225 / 45

GCD(5, 45) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 440

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

LCM(5, 440) = 440

GCD(5, 440) = ( 5 x 440 ) / 440

GCD(5, 440) = 2200 / 440

GCD(5, 440) = 5

GCD of 885, 725, 45, 440 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 206, 187, 95, 641
• GCD of 220, 739, 93, 280
• GCD of 409, 391, 65, 656
• GCD of 755, 257, 59, 340
• GCD of 333, 861, 46, 201

1. What is the GCD of 885, 725, 45, 440?

GCD of 885, 725, 45, 440 is 5

2. Where do I get the detailed procedure to find GCD of 885, 725, 45, 440?

You can find a detailed procedure to find GCD of 885, 725, 45, 440 on our page.

3. How to find GCD of 885, 725, 45, 440 on a calculator?

You can find the GCD of 885, 725, 45, 440 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.