GCD of 225, 409, 807, 716 Calculator

Given Input numbers are 225, 409, 807, 716

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

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 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Greatest Common Divisior

We found the divisors of 225, 409, 807, 716 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 409, 807, 716 is 1.

Therefore, GCD of numbers 225, 409, 807, 716 is 1

Given Input Data is 225, 409, 807, 716

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

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

Prime Factorization of 409 is 409

Prime Factorization of 807 is 3 x 269

Prime Factorization of 716 is 2 x 2 x 179

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(225, 409) = 92025

GCD(225, 409) = ( 225 x 409 ) / 92025

GCD(225, 409) = 92025 / 92025

GCD(225, 409) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 807

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

LCM(1, 807) = 807

GCD(1, 807) = ( 1 x 807 ) / 807

GCD(1, 807) = 807 / 807

GCD(1, 807) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 716

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

LCM(1, 716) = 716

GCD(1, 716) = ( 1 x 716 ) / 716

GCD(1, 716) = 716 / 716

GCD(1, 716) = 1

GCD of 225, 409, 807, 716 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 468, 646, 382, 922
• GCD of 894, 484, 231, 605
• GCD of 657, 482, 640, 795
• GCD of 842, 681, 823, 860
• GCD of 216, 394, 364, 786

1. What is the GCD of 225, 409, 807, 716?

GCD of 225, 409, 807, 716 is 1

2. Where do I get the detailed procedure to find GCD of 225, 409, 807, 716?

You can find a detailed procedure to find GCD of 225, 409, 807, 716 on our page.

3. How to find GCD of 225, 409, 807, 716 on a calculator?

You can find the GCD of 225, 409, 807, 716 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.