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 numbers 429, 438, 86, 989 is 1
GCD(429, 438, 86, 989) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.