GCD of 663, 374, 853, 823 Calculator

Given Input numbers are 663, 374, 853, 823

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

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 853

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

1, 853

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Greatest Common Divisior

We found the divisors of 663, 374, 853, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 663, 374, 853, 823 is 1.

Therefore, GCD of numbers 663, 374, 853, 823 is 1

Given Input Data is 663, 374, 853, 823

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

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 853 is 853

Prime Factorization of 823 is 823

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(663, 374) = 14586

GCD(663, 374) = ( 663 x 374 ) / 14586

GCD(663, 374) = 247962 / 14586

GCD(663, 374) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 853

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

LCM(17, 853) = 14501

GCD(17, 853) = ( 17 x 853 ) / 14501

GCD(17, 853) = 14501 / 14501

GCD(17, 853) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 823

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

LCM(1, 823) = 823

GCD(1, 823) = ( 1 x 823 ) / 823

GCD(1, 823) = 823 / 823

GCD(1, 823) = 1

GCD of 663, 374, 853, 823 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 202, 808, 972, 639
• GCD of 970, 497, 977, 249
• GCD of 663, 395, 990, 134
• GCD of 853, 666, 594, 987
• GCD of 910, 990, 831, 706

1. What is the GCD of 663, 374, 853, 823?

GCD of 663, 374, 853, 823 is 1

2. Where do I get the detailed procedure to find GCD of 663, 374, 853, 823?

You can find a detailed procedure to find GCD of 663, 374, 853, 823 on our page.

3. How to find GCD of 663, 374, 853, 823 on a calculator?

You can find the GCD of 663, 374, 853, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.