GCD of 932, 298, 48, 590 Calculator

Given Input numbers are 932, 298, 48, 590

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

Divisors of 932

List of positive integer divisors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Greatest Common Divisior

We found the divisors of 932, 298, 48, 590 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 932, 298, 48, 590 is 2.

Therefore, GCD of numbers 932, 298, 48, 590 is 2

Given Input Data is 932, 298, 48, 590

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

Prime Factorization of 932 is 2 x 2 x 233

Prime Factorization of 298 is 2 x 149

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 590 is 2 x 5 x 59

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(932, 298) = 138868

GCD(932, 298) = ( 932 x 298 ) / 138868

GCD(932, 298) = 277736 / 138868

GCD(932, 298) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 48

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

LCM(2, 48) = 48

GCD(2, 48) = ( 2 x 48 ) / 48

GCD(2, 48) = 96 / 48

GCD(2, 48) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 590

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

LCM(2, 590) = 590

GCD(2, 590) = ( 2 x 590 ) / 590

GCD(2, 590) = 1180 / 590

GCD(2, 590) = 2

GCD of 932, 298, 48, 590 is 2

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1. What is the GCD of 932, 298, 48, 590?

GCD of 932, 298, 48, 590 is 2

2. Where do I get the detailed procedure to find GCD of 932, 298, 48, 590?

You can find a detailed procedure to find GCD of 932, 298, 48, 590 on our page.

3. How to find GCD of 932, 298, 48, 590 on a calculator?

You can find the GCD of 932, 298, 48, 590 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.