GCD of 916, 490, 989, 392 Calculator

Given Input numbers are 916, 490, 989, 392

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

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

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 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Greatest Common Divisior

We found the divisors of 916, 490, 989, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 490, 989, 392 is 1.

Therefore, GCD of numbers 916, 490, 989, 392 is 1

Given Input Data is 916, 490, 989, 392

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

Prime Factorization of 916 is 2 x 2 x 229

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

Prime Factorization of 989 is 23 x 43

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

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(916, 490) = 224420

GCD(916, 490) = ( 916 x 490 ) / 224420

GCD(916, 490) = 448840 / 224420

GCD(916, 490) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 989

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

LCM(2, 989) = 1978

GCD(2, 989) = ( 2 x 989 ) / 1978

GCD(2, 989) = 1978 / 1978

GCD(2, 989) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 392

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

LCM(1, 392) = 392

GCD(1, 392) = ( 1 x 392 ) / 392

GCD(1, 392) = 392 / 392

GCD(1, 392) = 1

GCD of 916, 490, 989, 392 is 1

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1. What is the GCD of 916, 490, 989, 392?

GCD of 916, 490, 989, 392 is 1

2. Where do I get the detailed procedure to find GCD of 916, 490, 989, 392?

You can find a detailed procedure to find GCD of 916, 490, 989, 392 on our page.

3. How to find GCD of 916, 490, 989, 392 on a calculator?

You can find the GCD of 916, 490, 989, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.