GCD of 634, 132, 24, 240 Calculator

Given Input numbers are 634, 132, 24, 240

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

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

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 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Greatest Common Divisior

We found the divisors of 634, 132, 24, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 634, 132, 24, 240 is 2.

Therefore, GCD of numbers 634, 132, 24, 240 is 2

Given Input Data is 634, 132, 24, 240

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

Prime Factorization of 634 is 2 x 317

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

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(634, 132) = 41844

GCD(634, 132) = ( 634 x 132 ) / 41844

GCD(634, 132) = 83688 / 41844

GCD(634, 132) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 24

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

LCM(2, 24) = 24

GCD(2, 24) = ( 2 x 24 ) / 24

GCD(2, 24) = 48 / 24

GCD(2, 24) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 240

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

LCM(2, 240) = 240

GCD(2, 240) = ( 2 x 240 ) / 240

GCD(2, 240) = 480 / 240

GCD(2, 240) = 2

GCD of 634, 132, 24, 240 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 917, 763, 21, 772
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• GCD of 697, 858, 48, 170

1. What is the GCD of 634, 132, 24, 240?

GCD of 634, 132, 24, 240 is 2

2. Where do I get the detailed procedure to find GCD of 634, 132, 24, 240?

You can find a detailed procedure to find GCD of 634, 132, 24, 240 on our page.

3. How to find GCD of 634, 132, 24, 240 on a calculator?

You can find the GCD of 634, 132, 24, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.