GCD of 896, 679, 86, 856 Calculator

Given Input numbers are 896, 679, 86, 856

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

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 856

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

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

Greatest Common Divisior

We found the divisors of 896, 679, 86, 856 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 679, 86, 856 is 1.

Therefore, GCD of numbers 896, 679, 86, 856 is 1

Given Input Data is 896, 679, 86, 856

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

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 679 is 7 x 97

Prime Factorization of 86 is 2 x 43

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

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(896, 679) = 86912

GCD(896, 679) = ( 896 x 679 ) / 86912

GCD(896, 679) = 608384 / 86912

GCD(896, 679) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 86

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

LCM(7, 86) = 602

GCD(7, 86) = ( 7 x 86 ) / 602

GCD(7, 86) = 602 / 602

GCD(7, 86) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 856

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

LCM(1, 856) = 856

GCD(1, 856) = ( 1 x 856 ) / 856

GCD(1, 856) = 856 / 856

GCD(1, 856) = 1

GCD of 896, 679, 86, 856 is 1

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1. What is the GCD of 896, 679, 86, 856?

GCD of 896, 679, 86, 856 is 1

2. Where do I get the detailed procedure to find GCD of 896, 679, 86, 856?

You can find a detailed procedure to find GCD of 896, 679, 86, 856 on our page.

3. How to find GCD of 896, 679, 86, 856 on a calculator?

You can find the GCD of 896, 679, 86, 856 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.