GCD of 650, 288, 13, 450 Calculator

Given Input numbers are 650, 288, 13, 450

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

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 13

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

1, 13

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Greatest Common Divisior

We found the divisors of 650, 288, 13, 450 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 650, 288, 13, 450 is 1.

Therefore, GCD of numbers 650, 288, 13, 450 is 1

Given Input Data is 650, 288, 13, 450

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

Prime Factorization of 650 is 2 x 5 x 5 x 13

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 13 is 13

Prime Factorization of 450 is 2 x 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(650, 288) = 93600

GCD(650, 288) = ( 650 x 288 ) / 93600

GCD(650, 288) = 187200 / 93600

GCD(650, 288) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 13

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

LCM(2, 13) = 26

GCD(2, 13) = ( 2 x 13 ) / 26

GCD(2, 13) = 26 / 26

GCD(2, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 450

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

LCM(1, 450) = 450

GCD(1, 450) = ( 1 x 450 ) / 450

GCD(1, 450) = 450 / 450

GCD(1, 450) = 1

GCD of 650, 288, 13, 450 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 157, 632, 84, 386
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• GCD of 871, 328, 44, 682
• GCD of 671, 607, 48, 884
• GCD of 579, 466, 28, 399

1. What is the GCD of 650, 288, 13, 450?

GCD of 650, 288, 13, 450 is 1

2. Where do I get the detailed procedure to find GCD of 650, 288, 13, 450?

You can find a detailed procedure to find GCD of 650, 288, 13, 450 on our page.

3. How to find GCD of 650, 288, 13, 450 on a calculator?

You can find the GCD of 650, 288, 13, 450 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.