GCD of 584, 832, 998 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 584, 832, 998 i.e. 2 largest integer that divides all the numbers equally.

GCD of 584, 832, 998 is 2

GCD(584, 832, 998) = 2

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 584, 832, 998 is 2

GCD(584, 832, 998) = 2

GCD of 584,832,998 Calculator

GCDof 584,832,998 is 2

Given Input numbers are 584, 832, 998

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

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 584, 832, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 584, 832, 998 is 2.

Therefore, GCD of numbers 584, 832, 998 is 2

Finding GCD of 584, 832, 998 using Prime Factorization

Given Input Data is 584, 832, 998

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

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 998 is 2 x 499

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 584, 832, 998 using LCM Formula

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(584, 832) = 60736

GCD(584, 832) = ( 584 x 832 ) / 60736

GCD(584, 832) = 485888 / 60736

GCD(584, 832) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 998

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

LCM(8, 998) = 3992

GCD(8, 998) = ( 8 x 998 ) / 3992

GCD(8, 998) = 7984 / 3992

GCD(8, 998) = 2

GCD of 584, 832, 998 is 2

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FAQs on GCD of numbers 584, 832, 998

1. What is the GCD of 584, 832, 998?

GCD of 584, 832, 998 is 2

2. Where do I get the detailed procedure to find GCD of 584, 832, 998?

You can find a detailed procedure to find GCD of 584, 832, 998 on our page.

3. How to find GCD of 584, 832, 998 on a calculator?

You can find the GCD of 584, 832, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.