GCD of 136, 998, 645, 132 Calculator

Given Input numbers are 136, 998, 645, 132

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

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

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

Greatest Common Divisior

We found the divisors of 136, 998, 645, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 136, 998, 645, 132 is 1.

Therefore, GCD of numbers 136, 998, 645, 132 is 1

Given Input Data is 136, 998, 645, 132

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

Prime Factorization of 136 is 2 x 2 x 2 x 17

Prime Factorization of 998 is 2 x 499

Prime Factorization of 645 is 3 x 5 x 43

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

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(136, 998) = 67864

GCD(136, 998) = ( 136 x 998 ) / 67864

GCD(136, 998) = 135728 / 67864

GCD(136, 998) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 645

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

LCM(2, 645) = 1290

GCD(2, 645) = ( 2 x 645 ) / 1290

GCD(2, 645) = 1290 / 1290

GCD(2, 645) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 132

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

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

GCD(1, 132) = 132 / 132

GCD(1, 132) = 1

GCD of 136, 998, 645, 132 is 1

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1. What is the GCD of 136, 998, 645, 132?

GCD of 136, 998, 645, 132 is 1

2. Where do I get the detailed procedure to find GCD of 136, 998, 645, 132?

You can find a detailed procedure to find GCD of 136, 998, 645, 132 on our page.

3. How to find GCD of 136, 998, 645, 132 on a calculator?

You can find the GCD of 136, 998, 645, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.