GCD of 632, 288, 46, 598 Calculator

Given Input numbers are 632, 288, 46, 598

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

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Greatest Common Divisior

We found the divisors of 632, 288, 46, 598 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 632, 288, 46, 598 is 2.

Therefore, GCD of numbers 632, 288, 46, 598 is 2

Given Input Data is 632, 288, 46, 598

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

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 46 is 2 x 23

Prime Factorization of 598 is 2 x 13 x 23

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(632, 288) = 22752

GCD(632, 288) = ( 632 x 288 ) / 22752

GCD(632, 288) = 182016 / 22752

GCD(632, 288) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 46

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

LCM(8, 46) = 184

GCD(8, 46) = ( 8 x 46 ) / 184

GCD(8, 46) = 368 / 184

GCD(8, 46) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 598

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

LCM(2, 598) = 598

GCD(2, 598) = ( 2 x 598 ) / 598

GCD(2, 598) = 1196 / 598

GCD(2, 598) = 2

GCD of 632, 288, 46, 598 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 674, 286, 63, 745
• GCD of 291, 264, 43, 138
• GCD of 892, 511, 70, 234
• GCD of 758, 752, 12, 629
• GCD of 405, 506, 39, 572

1. What is the GCD of 632, 288, 46, 598?

GCD of 632, 288, 46, 598 is 2

2. Where do I get the detailed procedure to find GCD of 632, 288, 46, 598?

You can find a detailed procedure to find GCD of 632, 288, 46, 598 on our page.

3. How to find GCD of 632, 288, 46, 598 on a calculator?

You can find the GCD of 632, 288, 46, 598 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.