GCD of 424, 464, 38, 989 Calculator

Given Input numbers are 424, 464, 38, 989

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

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 989

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

1, 23, 43, 989

Greatest Common Divisior

We found the divisors of 424, 464, 38, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 464, 38, 989 is 1.

Therefore, GCD of numbers 424, 464, 38, 989 is 1

Given Input Data is 424, 464, 38, 989

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

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 38 is 2 x 19

Prime Factorization of 989 is 23 x 43

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(424, 464) = 24592

GCD(424, 464) = ( 424 x 464 ) / 24592

GCD(424, 464) = 196736 / 24592

GCD(424, 464) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 38

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

LCM(8, 38) = 152

GCD(8, 38) = ( 8 x 38 ) / 152

GCD(8, 38) = 304 / 152

GCD(8, 38) = 2

Step3:

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

GCD of 424, 464, 38, 989 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 645, 121, 76, 253
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• GCD of 732, 395, 82, 385
• GCD of 417, 340, 55, 812
• GCD of 737, 315, 89, 496

1. What is the GCD of 424, 464, 38, 989?

GCD of 424, 464, 38, 989 is 1

2. Where do I get the detailed procedure to find GCD of 424, 464, 38, 989?

You can find a detailed procedure to find GCD of 424, 464, 38, 989 on our page.

3. How to find GCD of 424, 464, 38, 989 on a calculator?

You can find the GCD of 424, 464, 38, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.