GCD of 986, 338, 87, 446 Calculator

Given Input numbers are 986, 338, 87, 446

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

Divisors of 986

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

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

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Greatest Common Divisior

We found the divisors of 986, 338, 87, 446 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 338, 87, 446 is 1.

Therefore, GCD of numbers 986, 338, 87, 446 is 1

Given Input Data is 986, 338, 87, 446

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

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 87 is 3 x 29

Prime Factorization of 446 is 2 x 223

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(986, 338) = 166634

GCD(986, 338) = ( 986 x 338 ) / 166634

GCD(986, 338) = 333268 / 166634

GCD(986, 338) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 87

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

LCM(2, 87) = 174

GCD(2, 87) = ( 2 x 87 ) / 174

GCD(2, 87) = 174 / 174

GCD(2, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 446

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

LCM(1, 446) = 446

GCD(1, 446) = ( 1 x 446 ) / 446

GCD(1, 446) = 446 / 446

GCD(1, 446) = 1

GCD of 986, 338, 87, 446 is 1

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• GCD of 457, 250, 21, 935
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• GCD of 862, 379, 21, 202

1. What is the GCD of 986, 338, 87, 446?

GCD of 986, 338, 87, 446 is 1

2. Where do I get the detailed procedure to find GCD of 986, 338, 87, 446?

You can find a detailed procedure to find GCD of 986, 338, 87, 446 on our page.

3. How to find GCD of 986, 338, 87, 446 on a calculator?

You can find the GCD of 986, 338, 87, 446 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.