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 598, 114, 16, 429 i.e. 1 largest integer that divides all the numbers equally.
GCD of 598, 114, 16, 429 is 1
GCD(598, 114, 16, 429) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 598, 114, 16, 429 is 1
GCD(598, 114, 16, 429) = 1
Given Input numbers are 598, 114, 16, 429
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 598
List of positive integer divisors of 598 that divides 598 without a remainder.
1, 2, 13, 23, 26, 46, 299, 598
Divisors of 114
List of positive integer divisors of 114 that divides 114 without a remainder.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 429
List of positive integer divisors of 429 that divides 429 without a remainder.
1, 3, 11, 13, 33, 39, 143, 429
Greatest Common Divisior
We found the divisors of 598, 114, 16, 429 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 114, 16, 429 is 1.
Therefore, GCD of numbers 598, 114, 16, 429 is 1
Given Input Data is 598, 114, 16, 429
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 598 is 2 x 13 x 23
Prime Factorization of 114 is 2 x 3 x 19
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 429 is 3 x 11 x 13
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(598, 114) = 34086
GCD(598, 114) = ( 598 x 114 ) / 34086
GCD(598, 114) = 68172 / 34086
GCD(598, 114) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 16
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 16) = 16
GCD(2, 16) = ( 2 x 16 ) / 16
GCD(2, 16) = 32 / 16
GCD(2, 16) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 429
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 429) = 858
GCD(2, 429) = ( 2 x 429 ) / 858
GCD(2, 429) = 858 / 858
GCD(2, 429) = 1
GCD of 598, 114, 16, 429 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 598, 114, 16, 429?
GCD of 598, 114, 16, 429 is 1
2. Where do I get the detailed procedure to find GCD of 598, 114, 16, 429?
You can find a detailed procedure to find GCD of 598, 114, 16, 429 on our page.
3. How to find GCD of 598, 114, 16, 429 on a calculator?
You can find the GCD of 598, 114, 16, 429 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.