GCD of 132, 356, 81, 514 Calculator

Given Input numbers are 132, 356, 81, 514

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

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Greatest Common Divisior

We found the divisors of 132, 356, 81, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 356, 81, 514 is 1.

Therefore, GCD of numbers 132, 356, 81, 514 is 1

Given Input Data is 132, 356, 81, 514

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

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 514 is 2 x 257

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(132, 356) = 11748

GCD(132, 356) = ( 132 x 356 ) / 11748

GCD(132, 356) = 46992 / 11748

GCD(132, 356) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 81

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

LCM(4, 81) = 324

GCD(4, 81) = ( 4 x 81 ) / 324

GCD(4, 81) = 324 / 324

GCD(4, 81) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 514

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

LCM(1, 514) = 514

GCD(1, 514) = ( 1 x 514 ) / 514

GCD(1, 514) = 514 / 514

GCD(1, 514) = 1

GCD of 132, 356, 81, 514 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 968, 390, 28, 118
• GCD of 276, 485, 12, 361
• GCD of 862, 918, 48, 350
• GCD of 747, 183, 32, 844
• GCD of 614, 267, 97, 759

1. What is the GCD of 132, 356, 81, 514?

GCD of 132, 356, 81, 514 is 1

2. Where do I get the detailed procedure to find GCD of 132, 356, 81, 514?

You can find a detailed procedure to find GCD of 132, 356, 81, 514 on our page.

3. How to find GCD of 132, 356, 81, 514 on a calculator?

You can find the GCD of 132, 356, 81, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.