GCD of 899, 185, 86, 924 Calculator

Given Input numbers are 899, 185, 86, 924

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

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 86

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

1, 2, 43, 86

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Greatest Common Divisior

We found the divisors of 899, 185, 86, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 899, 185, 86, 924 is 1.

Therefore, GCD of numbers 899, 185, 86, 924 is 1

Given Input Data is 899, 185, 86, 924

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

Prime Factorization of 899 is 29 x 31

Prime Factorization of 185 is 5 x 37

Prime Factorization of 86 is 2 x 43

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

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(899, 185) = 166315

GCD(899, 185) = ( 899 x 185 ) / 166315

GCD(899, 185) = 166315 / 166315

GCD(899, 185) = 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 924

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

LCM(1, 924) = 924

GCD(1, 924) = ( 1 x 924 ) / 924

GCD(1, 924) = 924 / 924

GCD(1, 924) = 1

GCD of 899, 185, 86, 924 is 1

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1. What is the GCD of 899, 185, 86, 924?

GCD of 899, 185, 86, 924 is 1

2. Where do I get the detailed procedure to find GCD of 899, 185, 86, 924?

You can find a detailed procedure to find GCD of 899, 185, 86, 924 on our page.

3. How to find GCD of 899, 185, 86, 924 on a calculator?

You can find the GCD of 899, 185, 86, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.