GCD of 470, 198, 891, 986 Calculator

Given Input numbers are 470, 198, 891, 986

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

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Greatest Common Divisior

We found the divisors of 470, 198, 891, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 198, 891, 986 is 1.

Therefore, GCD of numbers 470, 198, 891, 986 is 1

Given Input Data is 470, 198, 891, 986

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

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 986 is 2 x 17 x 29

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(470, 198) = 46530

GCD(470, 198) = ( 470 x 198 ) / 46530

GCD(470, 198) = 93060 / 46530

GCD(470, 198) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 891

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

LCM(2, 891) = 1782

GCD(2, 891) = ( 2 x 891 ) / 1782

GCD(2, 891) = 1782 / 1782

GCD(2, 891) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 986

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

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

GCD(1, 986) = 986 / 986

GCD(1, 986) = 1

GCD of 470, 198, 891, 986 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 229, 424, 487, 990
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• GCD of 240, 962, 346, 477
• GCD of 199, 329, 898, 730

1. What is the GCD of 470, 198, 891, 986?

GCD of 470, 198, 891, 986 is 1

2. Where do I get the detailed procedure to find GCD of 470, 198, 891, 986?

You can find a detailed procedure to find GCD of 470, 198, 891, 986 on our page.

3. How to find GCD of 470, 198, 891, 986 on a calculator?

You can find the GCD of 470, 198, 891, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.