GCD of 704, 506, 99, 364 Calculator

Given Input numbers are 704, 506, 99, 364

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

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 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 704, 506, 99, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 506, 99, 364 is 1.

Therefore, GCD of numbers 704, 506, 99, 364 is 1

Given Input Data is 704, 506, 99, 364

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

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 364 is 2 x 2 x 7 x 13

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(704, 506) = 16192

GCD(704, 506) = ( 704 x 506 ) / 16192

GCD(704, 506) = 356224 / 16192

GCD(704, 506) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 99

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

LCM(22, 99) = 198

GCD(22, 99) = ( 22 x 99 ) / 198

GCD(22, 99) = 2178 / 198

GCD(22, 99) = 11

Step3:

Here we consider the GCD from the above i.e. 11 as first number and the next as 364

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

LCM(11, 364) = 4004

GCD(11, 364) = ( 11 x 364 ) / 4004

GCD(11, 364) = 4004 / 4004

GCD(11, 364) = 1

GCD of 704, 506, 99, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 904, 522, 30, 929
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• GCD of 553, 289, 63, 383

1. What is the GCD of 704, 506, 99, 364?

GCD of 704, 506, 99, 364 is 1

2. Where do I get the detailed procedure to find GCD of 704, 506, 99, 364?

You can find a detailed procedure to find GCD of 704, 506, 99, 364 on our page.

3. How to find GCD of 704, 506, 99, 364 on a calculator?

You can find the GCD of 704, 506, 99, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.