GCD of 913, 109, 25, 704 Calculator

Given Input numbers are 913, 109, 25, 704

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

Divisors of 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 25

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

1, 5, 25

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Greatest Common Divisior

We found the divisors of 913, 109, 25, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 913, 109, 25, 704 is 1.

Therefore, GCD of numbers 913, 109, 25, 704 is 1

Given Input Data is 913, 109, 25, 704

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

Prime Factorization of 913 is 11 x 83

Prime Factorization of 109 is 109

Prime Factorization of 25 is 5 x 5

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

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(913, 109) = 99517

GCD(913, 109) = ( 913 x 109 ) / 99517

GCD(913, 109) = 99517 / 99517

GCD(913, 109) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 704

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

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

GCD(1, 704) = 704 / 704

GCD(1, 704) = 1

GCD of 913, 109, 25, 704 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 601, 186, 52, 735
• GCD of 925, 714, 96, 586
• GCD of 917, 548, 23, 896
• GCD of 858, 944, 95, 518
• GCD of 441, 614, 91, 302

1. What is the GCD of 913, 109, 25, 704?

GCD of 913, 109, 25, 704 is 1

2. Where do I get the detailed procedure to find GCD of 913, 109, 25, 704?

You can find a detailed procedure to find GCD of 913, 109, 25, 704 on our page.

3. How to find GCD of 913, 109, 25, 704 on a calculator?

You can find the GCD of 913, 109, 25, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.