GCD of 856, 299, 35, 718 Calculator

Given Input numbers are 856, 299, 35, 718

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 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Greatest Common Divisior

We found the divisors of 856, 299, 35, 718 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 856, 299, 35, 718 is 1.

Therefore, GCD of numbers 856, 299, 35, 718 is 1

Given Input Data is 856, 299, 35, 718

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 299 is 13 x 23

Prime Factorization of 35 is 5 x 7

Prime Factorization of 718 is 2 x 359

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, 299) = 255944

GCD(856, 299) = ( 856 x 299 ) / 255944

GCD(856, 299) = 255944 / 255944

GCD(856, 299) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 35

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

LCM(1, 35) = 35

GCD(1, 35) = ( 1 x 35 ) / 35

GCD(1, 35) = 35 / 35

GCD(1, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 718

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

LCM(1, 718) = 718

GCD(1, 718) = ( 1 x 718 ) / 718

GCD(1, 718) = 718 / 718

GCD(1, 718) = 1

GCD of 856, 299, 35, 718 is 1

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1. What is the GCD of 856, 299, 35, 718?

GCD of 856, 299, 35, 718 is 1

2. Where do I get the detailed procedure to find GCD of 856, 299, 35, 718?

You can find a detailed procedure to find GCD of 856, 299, 35, 718 on our page.

3. How to find GCD of 856, 299, 35, 718 on a calculator?

You can find the GCD of 856, 299, 35, 718 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.