GCD of 724, 916, 819, 476 Calculator

Given Input numbers are 724, 916, 819, 476

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 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Greatest Common Divisior

We found the divisors of 724, 916, 819, 476 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 916, 819, 476 is 1.

Therefore, GCD of numbers 724, 916, 819, 476 is 1

Given Input Data is 724, 916, 819, 476

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 916 is 2 x 2 x 229

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 476 is 2 x 2 x 7 x 17

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, 916) = 165796

GCD(724, 916) = ( 724 x 916 ) / 165796

GCD(724, 916) = 663184 / 165796

GCD(724, 916) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 819

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

LCM(4, 819) = 3276

GCD(4, 819) = ( 4 x 819 ) / 3276

GCD(4, 819) = 3276 / 3276

GCD(4, 819) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 476

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

LCM(1, 476) = 476

GCD(1, 476) = ( 1 x 476 ) / 476

GCD(1, 476) = 476 / 476

GCD(1, 476) = 1

GCD of 724, 916, 819, 476 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 924, 969, 492, 210
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• GCD of 273, 628, 234, 409
• GCD of 569, 764, 448, 883

1. What is the GCD of 724, 916, 819, 476?

GCD of 724, 916, 819, 476 is 1

2. Where do I get the detailed procedure to find GCD of 724, 916, 819, 476?

You can find a detailed procedure to find GCD of 724, 916, 819, 476 on our page.

3. How to find GCD of 724, 916, 819, 476 on a calculator?

You can find the GCD of 724, 916, 819, 476 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.