GCD of 392, 824, 878, 785 Calculator

Given Input numbers are 392, 824, 878, 785

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

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Greatest Common Divisior

We found the divisors of 392, 824, 878, 785 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 824, 878, 785 is 1.

Therefore, GCD of numbers 392, 824, 878, 785 is 1

Given Input Data is 392, 824, 878, 785

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

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 878 is 2 x 439

Prime Factorization of 785 is 5 x 157

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(392, 824) = 40376

GCD(392, 824) = ( 392 x 824 ) / 40376

GCD(392, 824) = 323008 / 40376

GCD(392, 824) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 878

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

LCM(8, 878) = 3512

GCD(8, 878) = ( 8 x 878 ) / 3512

GCD(8, 878) = 7024 / 3512

GCD(8, 878) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 785

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

LCM(2, 785) = 1570

GCD(2, 785) = ( 2 x 785 ) / 1570

GCD(2, 785) = 1570 / 1570

GCD(2, 785) = 1

GCD of 392, 824, 878, 785 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 585, 964, 851, 308
• GCD of 194, 764, 544, 745
• GCD of 968, 451, 292, 182
• GCD of 207, 279, 719, 761
• GCD of 578, 769, 327, 380

1. What is the GCD of 392, 824, 878, 785?

GCD of 392, 824, 878, 785 is 1

2. Where do I get the detailed procedure to find GCD of 392, 824, 878, 785?

You can find a detailed procedure to find GCD of 392, 824, 878, 785 on our page.

3. How to find GCD of 392, 824, 878, 785 on a calculator?

You can find the GCD of 392, 824, 878, 785 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.