GCD of 133, 314, 270, 264 Calculator

Given Input numbers are 133, 314, 270, 264

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

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

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

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Greatest Common Divisior

We found the divisors of 133, 314, 270, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 133, 314, 270, 264 is 1.

Therefore, GCD of numbers 133, 314, 270, 264 is 1

Given Input Data is 133, 314, 270, 264

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

Prime Factorization of 133 is 7 x 19

Prime Factorization of 314 is 2 x 157

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

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(133, 314) = 41762

GCD(133, 314) = ( 133 x 314 ) / 41762

GCD(133, 314) = 41762 / 41762

GCD(133, 314) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 264

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

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

GCD(1, 264) = 264 / 264

GCD(1, 264) = 1

GCD of 133, 314, 270, 264 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 857, 269, 982, 896
• GCD of 144, 932, 804, 481
• GCD of 524, 661, 324, 861
• GCD of 821, 322, 120, 100
• GCD of 260, 715, 695, 294

1. What is the GCD of 133, 314, 270, 264?

GCD of 133, 314, 270, 264 is 1

2. Where do I get the detailed procedure to find GCD of 133, 314, 270, 264?

You can find a detailed procedure to find GCD of 133, 314, 270, 264 on our page.

3. How to find GCD of 133, 314, 270, 264 on a calculator?

You can find the GCD of 133, 314, 270, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.