GCD of 598, 992, 48, 643 Calculator

Given Input numbers are 598, 992, 48, 643

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

Divisors of 598

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

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

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

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 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Greatest Common Divisior

We found the divisors of 598, 992, 48, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 992, 48, 643 is 1.

Therefore, GCD of numbers 598, 992, 48, 643 is 1

Given Input Data is 598, 992, 48, 643

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

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

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

Prime Factorization of 643 is 643

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(598, 992) = 296608

GCD(598, 992) = ( 598 x 992 ) / 296608

GCD(598, 992) = 593216 / 296608

GCD(598, 992) = 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 643

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

LCM(2, 643) = 1286

GCD(2, 643) = ( 2 x 643 ) / 1286

GCD(2, 643) = 1286 / 1286

GCD(2, 643) = 1

GCD of 598, 992, 48, 643 is 1

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1. What is the GCD of 598, 992, 48, 643?

GCD of 598, 992, 48, 643 is 1

2. Where do I get the detailed procedure to find GCD of 598, 992, 48, 643?

You can find a detailed procedure to find GCD of 598, 992, 48, 643 on our page.

3. How to find GCD of 598, 992, 48, 643 on a calculator?

You can find the GCD of 598, 992, 48, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.