GCD of 400, 306, 45, 270 Calculator

Given Input numbers are 400, 306, 45, 270

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

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Greatest Common Divisior

We found the divisors of 400, 306, 45, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 306, 45, 270 is 1.

Therefore, GCD of numbers 400, 306, 45, 270 is 1

Given Input Data is 400, 306, 45, 270

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

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 270 is 2 x 3 x 3 x 3 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(400, 306) = 61200

GCD(400, 306) = ( 400 x 306 ) / 61200

GCD(400, 306) = 122400 / 61200

GCD(400, 306) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 45

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

LCM(2, 45) = 90

GCD(2, 45) = ( 2 x 45 ) / 90

GCD(2, 45) = 90 / 90

GCD(2, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 270

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

LCM(1, 270) = 270

GCD(1, 270) = ( 1 x 270 ) / 270

GCD(1, 270) = 270 / 270

GCD(1, 270) = 1

GCD of 400, 306, 45, 270 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 214, 203, 75, 729
• GCD of 382, 180, 74, 901
• GCD of 281, 803, 75, 427
• GCD of 990, 695, 64, 366
• GCD of 920, 185, 45, 118

1. What is the GCD of 400, 306, 45, 270?

GCD of 400, 306, 45, 270 is 1

2. Where do I get the detailed procedure to find GCD of 400, 306, 45, 270?

You can find a detailed procedure to find GCD of 400, 306, 45, 270 on our page.

3. How to find GCD of 400, 306, 45, 270 on a calculator?

You can find the GCD of 400, 306, 45, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.