GCD of 132, 208, 77, 827 Calculator

Given Input numbers are 132, 208, 77, 827

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 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Greatest Common Divisior

We found the divisors of 132, 208, 77, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 208, 77, 827 is 1.

Therefore, GCD of numbers 132, 208, 77, 827 is 1

Given Input Data is 132, 208, 77, 827

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 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 77 is 7 x 11

Prime Factorization of 827 is 827

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, 208) = 6864

GCD(132, 208) = ( 132 x 208 ) / 6864

GCD(132, 208) = 27456 / 6864

GCD(132, 208) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 77

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

LCM(4, 77) = 308

GCD(4, 77) = ( 4 x 77 ) / 308

GCD(4, 77) = 308 / 308

GCD(4, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 827

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

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

GCD(1, 827) = 827 / 827

GCD(1, 827) = 1

GCD of 132, 208, 77, 827 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 975, 927, 41, 781
• GCD of 772, 193, 87, 388
• GCD of 445, 389, 22, 644
• GCD of 866, 525, 97, 160
• GCD of 679, 287, 40, 289

1. What is the GCD of 132, 208, 77, 827?

GCD of 132, 208, 77, 827 is 1

2. Where do I get the detailed procedure to find GCD of 132, 208, 77, 827?

You can find a detailed procedure to find GCD of 132, 208, 77, 827 on our page.

3. How to find GCD of 132, 208, 77, 827 on a calculator?

You can find the GCD of 132, 208, 77, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.