GCD of 205, 725, 24, 910 Calculator

Given Input numbers are 205, 725, 24, 910

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

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 725

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

1, 5, 25, 29, 145, 725

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Greatest Common Divisior

We found the divisors of 205, 725, 24, 910 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 205, 725, 24, 910 is 1.

Therefore, GCD of numbers 205, 725, 24, 910 is 1

Given Input Data is 205, 725, 24, 910

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

Prime Factorization of 205 is 5 x 41

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 910 is 2 x 5 x 7 x 13

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

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(205, 725) = 29725

GCD(205, 725) = ( 205 x 725 ) / 29725

GCD(205, 725) = 148625 / 29725

GCD(205, 725) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 24

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

LCM(5, 24) = 120

GCD(5, 24) = ( 5 x 24 ) / 120

GCD(5, 24) = 120 / 120

GCD(5, 24) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 910

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

LCM(1, 910) = 910

GCD(1, 910) = ( 1 x 910 ) / 910

GCD(1, 910) = 910 / 910

GCD(1, 910) = 1

GCD of 205, 725, 24, 910 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 725, 716, 51, 668
• GCD of 382, 482, 48, 570
• GCD of 455, 376, 49, 754
• GCD of 670, 781, 49, 217
• GCD of 466, 121, 21, 745

1. What is the GCD of 205, 725, 24, 910?

GCD of 205, 725, 24, 910 is 1

2. Where do I get the detailed procedure to find GCD of 205, 725, 24, 910?

You can find a detailed procedure to find GCD of 205, 725, 24, 910 on our page.

3. How to find GCD of 205, 725, 24, 910 on a calculator?

You can find the GCD of 205, 725, 24, 910 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.