GCD of 724, 460, 295, 488 Calculator

Given Input numbers are 724, 460, 295, 488

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

Divisors of 724

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

1, 2, 4, 181, 362, 724

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Greatest Common Divisior

We found the divisors of 724, 460, 295, 488 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 460, 295, 488 is 1.

Therefore, GCD of numbers 724, 460, 295, 488 is 1

Given Input Data is 724, 460, 295, 488

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

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 295 is 5 x 59

Prime Factorization of 488 is 2 x 2 x 2 x 61

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(724, 460) = 83260

GCD(724, 460) = ( 724 x 460 ) / 83260

GCD(724, 460) = 333040 / 83260

GCD(724, 460) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 295

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

LCM(4, 295) = 1180

GCD(4, 295) = ( 4 x 295 ) / 1180

GCD(4, 295) = 1180 / 1180

GCD(4, 295) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 488

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

LCM(1, 488) = 488

GCD(1, 488) = ( 1 x 488 ) / 488

GCD(1, 488) = 488 / 488

GCD(1, 488) = 1

GCD of 724, 460, 295, 488 is 1

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• GCD of 262, 783, 214, 930
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1. What is the GCD of 724, 460, 295, 488?

GCD of 724, 460, 295, 488 is 1

2. Where do I get the detailed procedure to find GCD of 724, 460, 295, 488?

You can find a detailed procedure to find GCD of 724, 460, 295, 488 on our page.

3. How to find GCD of 724, 460, 295, 488 on a calculator?

You can find the GCD of 724, 460, 295, 488 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.