GCD of 108, 490, 986, 662 Calculator

Given Input numbers are 108, 490, 986, 662

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

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 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Greatest Common Divisior

We found the divisors of 108, 490, 986, 662 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 490, 986, 662 is 2.

Therefore, GCD of numbers 108, 490, 986, 662 is 2

Given Input Data is 108, 490, 986, 662

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 662 is 2 x 331

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(108, 490) = 26460

GCD(108, 490) = ( 108 x 490 ) / 26460

GCD(108, 490) = 52920 / 26460

GCD(108, 490) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 986

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

LCM(2, 986) = 986

GCD(2, 986) = ( 2 x 986 ) / 986

GCD(2, 986) = 1972 / 986

GCD(2, 986) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 662

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

LCM(2, 662) = 662

GCD(2, 662) = ( 2 x 662 ) / 662

GCD(2, 662) = 1324 / 662

GCD(2, 662) = 2

GCD of 108, 490, 986, 662 is 2

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1. What is the GCD of 108, 490, 986, 662?

GCD of 108, 490, 986, 662 is 2

2. Where do I get the detailed procedure to find GCD of 108, 490, 986, 662?

You can find a detailed procedure to find GCD of 108, 490, 986, 662 on our page.

3. How to find GCD of 108, 490, 986, 662 on a calculator?

You can find the GCD of 108, 490, 986, 662 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.