GCD of 86, 602, 782, 225 Calculator

Given Input numbers are 86, 602, 782, 225

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

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

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

Greatest Common Divisior

We found the divisors of 86, 602, 782, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 86, 602, 782, 225 is 1.

Therefore, GCD of numbers 86, 602, 782, 225 is 1

Given Input Data is 86, 602, 782, 225

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

Prime Factorization of 86 is 2 x 43

Prime Factorization of 602 is 2 x 7 x 43

Prime Factorization of 782 is 2 x 17 x 23

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

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(86, 602) = 602

GCD(86, 602) = ( 86 x 602 ) / 602

GCD(86, 602) = 51772 / 602

GCD(86, 602) = 86

Step2:

Here we consider the GCD from the above i.e. 86 as first number and the next as 782

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

LCM(86, 782) = 33626

GCD(86, 782) = ( 86 x 782 ) / 33626

GCD(86, 782) = 67252 / 33626

GCD(86, 782) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 225

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

LCM(2, 225) = 450

GCD(2, 225) = ( 2 x 225 ) / 450

GCD(2, 225) = 450 / 450

GCD(2, 225) = 1

GCD of 86, 602, 782, 225 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 50, 109, 110, 766
• GCD of 98, 801, 863, 576
• GCD of 69, 362, 436, 376
• GCD of 29, 306, 308, 925
• GCD of 71, 649, 412, 361

1. What is the GCD of 86, 602, 782, 225?

GCD of 86, 602, 782, 225 is 1

2. Where do I get the detailed procedure to find GCD of 86, 602, 782, 225?

You can find a detailed procedure to find GCD of 86, 602, 782, 225 on our page.

3. How to find GCD of 86, 602, 782, 225 on a calculator?

You can find the GCD of 86, 602, 782, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.