GCD of 704, 366, 53, 468 Calculator

Given Input numbers are 704, 366, 53, 468

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 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Greatest Common Divisior

We found the divisors of 704, 366, 53, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 366, 53, 468 is 1.

Therefore, GCD of numbers 704, 366, 53, 468 is 1

Given Input Data is 704, 366, 53, 468

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 366 is 2 x 3 x 61

Prime Factorization of 53 is 53

Prime Factorization of 468 is 2 x 2 x 3 x 3 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, 366) = 128832

GCD(704, 366) = ( 704 x 366 ) / 128832

GCD(704, 366) = 257664 / 128832

GCD(704, 366) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 53

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

LCM(2, 53) = 106

GCD(2, 53) = ( 2 x 53 ) / 106

GCD(2, 53) = 106 / 106

GCD(2, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 468

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

LCM(1, 468) = 468

GCD(1, 468) = ( 1 x 468 ) / 468

GCD(1, 468) = 468 / 468

GCD(1, 468) = 1

GCD of 704, 366, 53, 468 is 1

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1. What is the GCD of 704, 366, 53, 468?

GCD of 704, 366, 53, 468 is 1

2. Where do I get the detailed procedure to find GCD of 704, 366, 53, 468?

You can find a detailed procedure to find GCD of 704, 366, 53, 468 on our page.

3. How to find GCD of 704, 366, 53, 468 on a calculator?

You can find the GCD of 704, 366, 53, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.