GCD of 429, 114, 41, 854 Calculator

Given Input numbers are 429, 114, 41, 854

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 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Greatest Common Divisior

We found the divisors of 429, 114, 41, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 114, 41, 854 is 1.

Therefore, GCD of numbers 429, 114, 41, 854 is 1

Given Input Data is 429, 114, 41, 854

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 114 is 2 x 3 x 19

Prime Factorization of 41 is 41

Prime Factorization of 854 is 2 x 7 x 61

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, 114) = 16302

GCD(429, 114) = ( 429 x 114 ) / 16302

GCD(429, 114) = 48906 / 16302

GCD(429, 114) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 41

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

LCM(3, 41) = 123

GCD(3, 41) = ( 3 x 41 ) / 123

GCD(3, 41) = 123 / 123

GCD(3, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 854

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

LCM(1, 854) = 854

GCD(1, 854) = ( 1 x 854 ) / 854

GCD(1, 854) = 854 / 854

GCD(1, 854) = 1

GCD of 429, 114, 41, 854 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 626, 533, 79, 228
• GCD of 591, 706, 44, 207
• GCD of 670, 516, 27, 963
• GCD of 418, 952, 32, 237
• GCD of 791, 352, 95, 775

1. What is the GCD of 429, 114, 41, 854?

GCD of 429, 114, 41, 854 is 1

2. Where do I get the detailed procedure to find GCD of 429, 114, 41, 854?

You can find a detailed procedure to find GCD of 429, 114, 41, 854 on our page.

3. How to find GCD of 429, 114, 41, 854 on a calculator?

You can find the GCD of 429, 114, 41, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.