GCD of 898, 307, 86, 312 Calculator

Given Input numbers are 898, 307, 86, 312

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

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 86

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

1, 2, 43, 86

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Greatest Common Divisior

We found the divisors of 898, 307, 86, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 898, 307, 86, 312 is 1.

Therefore, GCD of numbers 898, 307, 86, 312 is 1

Given Input Data is 898, 307, 86, 312

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

Prime Factorization of 898 is 2 x 449

Prime Factorization of 307 is 307

Prime Factorization of 86 is 2 x 43

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

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(898, 307) = 275686

GCD(898, 307) = ( 898 x 307 ) / 275686

GCD(898, 307) = 275686 / 275686

GCD(898, 307) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 86

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

LCM(1, 86) = 86

GCD(1, 86) = ( 1 x 86 ) / 86

GCD(1, 86) = 86 / 86

GCD(1, 86) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

GCD of 898, 307, 86, 312 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 805, 977, 91, 595
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• GCD of 677, 879, 76, 746

1. What is the GCD of 898, 307, 86, 312?

GCD of 898, 307, 86, 312 is 1

2. Where do I get the detailed procedure to find GCD of 898, 307, 86, 312?

You can find a detailed procedure to find GCD of 898, 307, 86, 312 on our page.

3. How to find GCD of 898, 307, 86, 312 on a calculator?

You can find the GCD of 898, 307, 86, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.