GCD of 429, 351, 342, 954 Calculator

Given Input numbers are 429, 351, 342, 954

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 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Greatest Common Divisior

We found the divisors of 429, 351, 342, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 351, 342, 954 is 3.

Therefore, GCD of numbers 429, 351, 342, 954 is 3

Given Input Data is 429, 351, 342, 954

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 351 is 3 x 3 x 3 x 13

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 954 is 2 x 3 x 3 x 53

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 351) = 3861

GCD(429, 351) = ( 429 x 351 ) / 3861

GCD(429, 351) = 150579 / 3861

GCD(429, 351) = 39

Step2:

Here we consider the GCD from the above i.e. 39 as first number and the next as 342

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

LCM(39, 342) = 4446

GCD(39, 342) = ( 39 x 342 ) / 4446

GCD(39, 342) = 13338 / 4446

GCD(39, 342) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 954

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

LCM(3, 954) = 954

GCD(3, 954) = ( 3 x 954 ) / 954

GCD(3, 954) = 2862 / 954

GCD(3, 954) = 3

GCD of 429, 351, 342, 954 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 232, 497, 993, 505
• GCD of 533, 642, 661, 427
• GCD of 366, 975, 403, 316
• GCD of 160, 477, 937, 737
• GCD of 611, 372, 619, 530

1. What is the GCD of 429, 351, 342, 954?

GCD of 429, 351, 342, 954 is 3

2. Where do I get the detailed procedure to find GCD of 429, 351, 342, 954?

You can find a detailed procedure to find GCD of 429, 351, 342, 954 on our page.

3. How to find GCD of 429, 351, 342, 954 on a calculator?

You can find the GCD of 429, 351, 342, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.