GCD of 132, 512, 138, 719 Calculator

Given Input numbers are 132, 512, 138, 719

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 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 719

List of positive integer divisors of 719 that divides 719 without a remainder.

1, 719

Greatest Common Divisior

We found the divisors of 132, 512, 138, 719 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 512, 138, 719 is 1.

Therefore, GCD of numbers 132, 512, 138, 719 is 1

Given Input Data is 132, 512, 138, 719

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 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 719 is 719

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, 512) = 16896

GCD(132, 512) = ( 132 x 512 ) / 16896

GCD(132, 512) = 67584 / 16896

GCD(132, 512) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 138

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

LCM(4, 138) = 276

GCD(4, 138) = ( 4 x 138 ) / 276

GCD(4, 138) = 552 / 276

GCD(4, 138) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 719

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

LCM(2, 719) = 1438

GCD(2, 719) = ( 2 x 719 ) / 1438

GCD(2, 719) = 1438 / 1438

GCD(2, 719) = 1

GCD of 132, 512, 138, 719 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 677, 335, 822, 836
• GCD of 482, 304, 344, 846
• GCD of 605, 738, 628, 202
• GCD of 234, 473, 316, 427
• GCD of 529, 272, 288, 178

1. What is the GCD of 132, 512, 138, 719?

GCD of 132, 512, 138, 719 is 1

2. Where do I get the detailed procedure to find GCD of 132, 512, 138, 719?

You can find a detailed procedure to find GCD of 132, 512, 138, 719 on our page.

3. How to find GCD of 132, 512, 138, 719 on a calculator?

You can find the GCD of 132, 512, 138, 719 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.