GCD of 724, 490, 628, 931 Calculator

Given Input numbers are 724, 490, 628, 931

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 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Greatest Common Divisior

We found the divisors of 724, 490, 628, 931 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 490, 628, 931 is 1.

Therefore, GCD of numbers 724, 490, 628, 931 is 1

Given Input Data is 724, 490, 628, 931

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 490 is 2 x 5 x 7 x 7

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 931 is 7 x 7 x 19

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, 490) = 177380

GCD(724, 490) = ( 724 x 490 ) / 177380

GCD(724, 490) = 354760 / 177380

GCD(724, 490) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 628

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

LCM(2, 628) = 628

GCD(2, 628) = ( 2 x 628 ) / 628

GCD(2, 628) = 1256 / 628

GCD(2, 628) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 931

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

LCM(2, 931) = 1862

GCD(2, 931) = ( 2 x 931 ) / 1862

GCD(2, 931) = 1862 / 1862

GCD(2, 931) = 1

GCD of 724, 490, 628, 931 is 1

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• GCD of 814, 300, 669, 331

1. What is the GCD of 724, 490, 628, 931?

GCD of 724, 490, 628, 931 is 1

2. Where do I get the detailed procedure to find GCD of 724, 490, 628, 931?

You can find a detailed procedure to find GCD of 724, 490, 628, 931 on our page.

3. How to find GCD of 724, 490, 628, 931 on a calculator?

You can find the GCD of 724, 490, 628, 931 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.