GCD of 429, 438, 86, 989 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 429, 438, 86, 989 i.e. 1 largest integer that divides all the numbers equally.

GCD of 429, 438, 86, 989 is 1

GCD(429, 438, 86, 989) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 429, 438, 86, 989 is 1

GCD(429, 438, 86, 989) = 1

GCD of 429,438,86,989 Calculator

GCDof 429,438,86,989 is 1

Given Input numbers are 429, 438, 86, 989

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

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

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 429, 438, 86, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 438, 86, 989 is 1.

Therefore, GCD of numbers 429, 438, 86, 989 is 1

Finding GCD of 429, 438, 86, 989 using Prime Factorization

Given Input Data is 429, 438, 86, 989

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

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 86 is 2 x 43

Prime Factorization of 989 is 23 x 43

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 429, 438, 86, 989 using LCM Formula

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(429, 438) = 62634

GCD(429, 438) = ( 429 x 438 ) / 62634

GCD(429, 438) = 187902 / 62634

GCD(429, 438) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 86

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

LCM(3, 86) = 258

GCD(3, 86) = ( 3 x 86 ) / 258

GCD(3, 86) = 258 / 258

GCD(3, 86) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 989

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

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

GCD(1, 989) = 989 / 989

GCD(1, 989) = 1

GCD of 429, 438, 86, 989 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 429, 438, 86, 989

1. What is the GCD of 429, 438, 86, 989?

GCD of 429, 438, 86, 989 is 1


2. Where do I get the detailed procedure to find GCD of 429, 438, 86, 989?

You can find a detailed procedure to find GCD of 429, 438, 86, 989 on our page.


3. How to find GCD of 429, 438, 86, 989 on a calculator?

You can find the GCD of 429, 438, 86, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.