GCD of 32, 878, 636, 498 Calculator

Given Input numbers are 32, 878, 636, 498

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

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Greatest Common Divisior

We found the divisors of 32, 878, 636, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 878, 636, 498 is 2.

Therefore, GCD of numbers 32, 878, 636, 498 is 2

Given Input Data is 32, 878, 636, 498

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

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 878 is 2 x 439

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 498 is 2 x 3 x 83

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(32, 878) = 14048

GCD(32, 878) = ( 32 x 878 ) / 14048

GCD(32, 878) = 28096 / 14048

GCD(32, 878) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 636

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

LCM(2, 636) = 636

GCD(2, 636) = ( 2 x 636 ) / 636

GCD(2, 636) = 1272 / 636

GCD(2, 636) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 498

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

LCM(2, 498) = 498

GCD(2, 498) = ( 2 x 498 ) / 498

GCD(2, 498) = 996 / 498

GCD(2, 498) = 2

GCD of 32, 878, 636, 498 is 2

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1. What is the GCD of 32, 878, 636, 498?

GCD of 32, 878, 636, 498 is 2

2. Where do I get the detailed procedure to find GCD of 32, 878, 636, 498?

You can find a detailed procedure to find GCD of 32, 878, 636, 498 on our page.

3. How to find GCD of 32, 878, 636, 498 on a calculator?

You can find the GCD of 32, 878, 636, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.