GCD of 13, 225, 971, 698 Calculator

Given Input numbers are 13, 225, 971, 698

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

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 13, 225, 971, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 225, 971, 698 is 1.

Therefore, GCD of numbers 13, 225, 971, 698 is 1

Given Input Data is 13, 225, 971, 698

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

Prime Factorization of 13 is 13

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 971 is 971

Prime Factorization of 698 is 2 x 349

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(13, 225) = 2925

GCD(13, 225) = ( 13 x 225 ) / 2925

GCD(13, 225) = 2925 / 2925

GCD(13, 225) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 971

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

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

GCD(1, 971) = 971 / 971

GCD(1, 971) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

GCD of 13, 225, 971, 698 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 69, 451, 983, 330
• GCD of 77, 967, 185, 218
• GCD of 56, 188, 789, 260
• GCD of 53, 266, 901, 244
• GCD of 32, 135, 790, 403

1. What is the GCD of 13, 225, 971, 698?

GCD of 13, 225, 971, 698 is 1

2. Where do I get the detailed procedure to find GCD of 13, 225, 971, 698?

You can find a detailed procedure to find GCD of 13, 225, 971, 698 on our page.

3. How to find GCD of 13, 225, 971, 698 on a calculator?

You can find the GCD of 13, 225, 971, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.