GCD of 490, 989, 40, 986 Calculator

Given Input numbers are 490, 989, 40, 986

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

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 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

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 490, 989, 40, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 989, 40, 986 is 1.

Therefore, GCD of numbers 490, 989, 40, 986 is 1

Given Input Data is 490, 989, 40, 986

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

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

Prime Factorization of 989 is 23 x 43

Prime Factorization of 40 is 2 x 2 x 2 x 5

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(490, 989) = 484610

GCD(490, 989) = ( 490 x 989 ) / 484610

GCD(490, 989) = 484610 / 484610

GCD(490, 989) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 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 490, 989, 40, 986 is 1

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1. What is the GCD of 490, 989, 40, 986?

GCD of 490, 989, 40, 986 is 1

2. Where do I get the detailed procedure to find GCD of 490, 989, 40, 986?

You can find a detailed procedure to find GCD of 490, 989, 40, 986 on our page.

3. How to find GCD of 490, 989, 40, 986 on a calculator?

You can find the GCD of 490, 989, 40, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.