GCD of 132, 539, 308, 117 Calculator

Given Input numbers are 132, 539, 308, 117

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 539

List of positive integer divisors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Greatest Common Divisior

We found the divisors of 132, 539, 308, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 539, 308, 117 is 1.

Therefore, GCD of numbers 132, 539, 308, 117 is 1

Given Input Data is 132, 539, 308, 117

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 539 is 7 x 7 x 11

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 117 is 3 x 3 x 13

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, 539) = 6468

GCD(132, 539) = ( 132 x 539 ) / 6468

GCD(132, 539) = 71148 / 6468

GCD(132, 539) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 308

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

LCM(11, 308) = 308

GCD(11, 308) = ( 11 x 308 ) / 308

GCD(11, 308) = 3388 / 308

GCD(11, 308) = 11

Step3:

Here we consider the GCD from the above i.e. 11 as first number and the next as 117

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

LCM(11, 117) = 1287

GCD(11, 117) = ( 11 x 117 ) / 1287

GCD(11, 117) = 1287 / 1287

GCD(11, 117) = 1

GCD of 132, 539, 308, 117 is 1

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• GCD of 679, 316, 859, 157
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1. What is the GCD of 132, 539, 308, 117?

GCD of 132, 539, 308, 117 is 1

2. Where do I get the detailed procedure to find GCD of 132, 539, 308, 117?

You can find a detailed procedure to find GCD of 132, 539, 308, 117 on our page.

3. How to find GCD of 132, 539, 308, 117 on a calculator?

You can find the GCD of 132, 539, 308, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.