GCD of 610, 131, 225, 305 Calculator

Given Input numbers are 610, 131, 225, 305

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

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

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 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Greatest Common Divisior

We found the divisors of 610, 131, 225, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 610, 131, 225, 305 is 1.

Therefore, GCD of numbers 610, 131, 225, 305 is 1

Given Input Data is 610, 131, 225, 305

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

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 131 is 131

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

Prime Factorization of 305 is 5 x 61

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(610, 131) = 79910

GCD(610, 131) = ( 610 x 131 ) / 79910

GCD(610, 131) = 79910 / 79910

GCD(610, 131) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 225

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

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

GCD(1, 225) = 225 / 225

GCD(1, 225) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 305

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

LCM(1, 305) = 305

GCD(1, 305) = ( 1 x 305 ) / 305

GCD(1, 305) = 305 / 305

GCD(1, 305) = 1

GCD of 610, 131, 225, 305 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 800, 753, 263, 705
• GCD of 801, 684, 731, 895
• GCD of 699, 621, 878, 172
• GCD of 263, 684, 176, 449
• GCD of 946, 316, 576, 669

1. What is the GCD of 610, 131, 225, 305?

GCD of 610, 131, 225, 305 is 1

2. Where do I get the detailed procedure to find GCD of 610, 131, 225, 305?

You can find a detailed procedure to find GCD of 610, 131, 225, 305 on our page.

3. How to find GCD of 610, 131, 225, 305 on a calculator?

You can find the GCD of 610, 131, 225, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.