GCD of 484, 708, 578, 724 Calculator

Given Input numbers are 484, 708, 578, 724

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

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 484, 708, 578, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 484, 708, 578, 724 is 2.

Therefore, GCD of numbers 484, 708, 578, 724 is 2

Given Input Data is 484, 708, 578, 724

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

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 724 is 2 x 2 x 181

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(484, 708) = 85668

GCD(484, 708) = ( 484 x 708 ) / 85668

GCD(484, 708) = 342672 / 85668

GCD(484, 708) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 578

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

LCM(4, 578) = 1156

GCD(4, 578) = ( 4 x 578 ) / 1156

GCD(4, 578) = 2312 / 1156

GCD(4, 578) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 724

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

LCM(2, 724) = 724

GCD(2, 724) = ( 2 x 724 ) / 724

GCD(2, 724) = 1448 / 724

GCD(2, 724) = 2

GCD of 484, 708, 578, 724 is 2

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1. What is the GCD of 484, 708, 578, 724?

GCD of 484, 708, 578, 724 is 2

2. Where do I get the detailed procedure to find GCD of 484, 708, 578, 724?

You can find a detailed procedure to find GCD of 484, 708, 578, 724 on our page.

3. How to find GCD of 484, 708, 578, 724 on a calculator?

You can find the GCD of 484, 708, 578, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.