GCD of 504, 704, 853 Calculator

Given Input numbers are 504, 704, 853

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

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

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 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Greatest Common Divisior

We found the divisors of 504, 704, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 704, 853 is 1.

Therefore, GCD of numbers 504, 704, 853 is 1

Given Input Data is 504, 704, 853

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

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

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

Prime Factorization of 853 is 853

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(504, 704) = 44352

GCD(504, 704) = ( 504 x 704 ) / 44352

GCD(504, 704) = 354816 / 44352

GCD(504, 704) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 853

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

LCM(8, 853) = 6824

GCD(8, 853) = ( 8 x 853 ) / 6824

GCD(8, 853) = 6824 / 6824

GCD(8, 853) = 1

GCD of 504, 704, 853 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 910, 355, 715
• GCD of 294, 172, 353
• GCD of 388, 513, 145
• GCD of 111, 837, 972
• GCD of 105, 677, 698

1. What is the GCD of 504, 704, 853?

GCD of 504, 704, 853 is 1

2. Where do I get the detailed procedure to find GCD of 504, 704, 853?

You can find a detailed procedure to find GCD of 504, 704, 853 on our page.

3. How to find GCD of 504, 704, 853 on a calculator?

You can find the GCD of 504, 704, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.