GCD of 824, 704, 258 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 824, 704, 258 i.e. 2 largest integer that divides all the numbers equally.

GCD of 824, 704, 258 is 2

GCD(824, 704, 258) = 2

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

GCD of

GCD of numbers 824, 704, 258 is 2

GCD(824, 704, 258) = 2

GCD of 824,704,258 Calculator

GCDof 824,704,258 is 2

Given Input numbers are 824, 704, 258

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

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Greatest Common Divisior

We found the divisors of 824, 704, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 704, 258 is 2.

Therefore, GCD of numbers 824, 704, 258 is 2

Finding GCD of 824, 704, 258 using Prime Factorization

Given Input Data is 824, 704, 258

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

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 258 is 2 x 3 x 43

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 824, 704, 258 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(824, 704) = 72512

GCD(824, 704) = ( 824 x 704 ) / 72512

GCD(824, 704) = 580096 / 72512

GCD(824, 704) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 258

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

LCM(8, 258) = 1032

GCD(8, 258) = ( 8 x 258 ) / 1032

GCD(8, 258) = 2064 / 1032

GCD(8, 258) = 2

GCD of 824, 704, 258 is 2

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FAQs on GCD of numbers 824, 704, 258

1. What is the GCD of 824, 704, 258?

GCD of 824, 704, 258 is 2

2. Where do I get the detailed procedure to find GCD of 824, 704, 258?

You can find a detailed procedure to find GCD of 824, 704, 258 on our page.

3. How to find GCD of 824, 704, 258 on a calculator?

You can find the GCD of 824, 704, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.