GCD of 132, 672, 35, 486 Calculator

Given Input numbers are 132, 672, 35, 486

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 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Greatest Common Divisior

We found the divisors of 132, 672, 35, 486 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 672, 35, 486 is 1.

Therefore, GCD of numbers 132, 672, 35, 486 is 1

Given Input Data is 132, 672, 35, 486

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 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 35 is 5 x 7

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

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, 672) = 7392

GCD(132, 672) = ( 132 x 672 ) / 7392

GCD(132, 672) = 88704 / 7392

GCD(132, 672) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 35

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

LCM(12, 35) = 420

GCD(12, 35) = ( 12 x 35 ) / 420

GCD(12, 35) = 420 / 420

GCD(12, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 486

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

LCM(1, 486) = 486

GCD(1, 486) = ( 1 x 486 ) / 486

GCD(1, 486) = 486 / 486

GCD(1, 486) = 1

GCD of 132, 672, 35, 486 is 1

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1. What is the GCD of 132, 672, 35, 486?

GCD of 132, 672, 35, 486 is 1

2. Where do I get the detailed procedure to find GCD of 132, 672, 35, 486?

You can find a detailed procedure to find GCD of 132, 672, 35, 486 on our page.

3. How to find GCD of 132, 672, 35, 486 on a calculator?

You can find the GCD of 132, 672, 35, 486 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.