GCD of 880, 544, 25, 953 Calculator

Given Input numbers are 880, 544, 25, 953

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

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Greatest Common Divisior

We found the divisors of 880, 544, 25, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 880, 544, 25, 953 is 1.

Therefore, GCD of numbers 880, 544, 25, 953 is 1

Given Input Data is 880, 544, 25, 953

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

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

Prime Factorization of 25 is 5 x 5

Prime Factorization of 953 is 953

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(880, 544) = 29920

GCD(880, 544) = ( 880 x 544 ) / 29920

GCD(880, 544) = 478720 / 29920

GCD(880, 544) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 25

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

LCM(16, 25) = 400

GCD(16, 25) = ( 16 x 25 ) / 400

GCD(16, 25) = 400 / 400

GCD(16, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 953

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

LCM(1, 953) = 953

GCD(1, 953) = ( 1 x 953 ) / 953

GCD(1, 953) = 953 / 953

GCD(1, 953) = 1

GCD of 880, 544, 25, 953 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 459, 728, 87, 176
• GCD of 678, 253, 10, 108
• GCD of 781, 422, 91, 697
• GCD of 788, 139, 12, 634
• GCD of 913, 478, 91, 489

1. What is the GCD of 880, 544, 25, 953?

GCD of 880, 544, 25, 953 is 1

2. Where do I get the detailed procedure to find GCD of 880, 544, 25, 953?

You can find a detailed procedure to find GCD of 880, 544, 25, 953 on our page.

3. How to find GCD of 880, 544, 25, 953 on a calculator?

You can find the GCD of 880, 544, 25, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.