GCD of 856, 808, 698, 139 Calculator

Given Input numbers are 856, 808, 698, 139

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

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 139

List of positive integer divisors of 139 that divides 139 without a remainder.

1, 139

Greatest Common Divisior

We found the divisors of 856, 808, 698, 139 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 856, 808, 698, 139 is 1.

Therefore, GCD of numbers 856, 808, 698, 139 is 1

Given Input Data is 856, 808, 698, 139

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

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 698 is 2 x 349

Prime Factorization of 139 is 139

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(856, 808) = 86456

GCD(856, 808) = ( 856 x 808 ) / 86456

GCD(856, 808) = 691648 / 86456

GCD(856, 808) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 698

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

LCM(8, 698) = 2792

GCD(8, 698) = ( 8 x 698 ) / 2792

GCD(8, 698) = 5584 / 2792

GCD(8, 698) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 139

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

LCM(2, 139) = 278

GCD(2, 139) = ( 2 x 139 ) / 278

GCD(2, 139) = 278 / 278

GCD(2, 139) = 1

GCD of 856, 808, 698, 139 is 1

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1. What is the GCD of 856, 808, 698, 139?

GCD of 856, 808, 698, 139 is 1

2. Where do I get the detailed procedure to find GCD of 856, 808, 698, 139?

You can find a detailed procedure to find GCD of 856, 808, 698, 139 on our page.

3. How to find GCD of 856, 808, 698, 139 on a calculator?

You can find the GCD of 856, 808, 698, 139 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.