GCD of 598, 114, 16, 429 Calculator

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.

• GCD of 192, 167, 55, 828
• GCD of 235, 122, 53, 913
• GCD of 161, 810, 87, 355
• GCD of 253, 518, 64, 657
• GCD of 746, 542, 53, 150

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.