GCD of 468, 420, 429, 334 Calculator

Given Input numbers are 468, 420, 429, 334

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

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 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Greatest Common Divisior

We found the divisors of 468, 420, 429, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 420, 429, 334 is 1.

Therefore, GCD of numbers 468, 420, 429, 334 is 1

Given Input Data is 468, 420, 429, 334

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 334 is 2 x 167

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(468, 420) = 16380

GCD(468, 420) = ( 468 x 420 ) / 16380

GCD(468, 420) = 196560 / 16380

GCD(468, 420) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 429

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

LCM(12, 429) = 1716

GCD(12, 429) = ( 12 x 429 ) / 1716

GCD(12, 429) = 5148 / 1716

GCD(12, 429) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 334

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

LCM(3, 334) = 1002

GCD(3, 334) = ( 3 x 334 ) / 1002

GCD(3, 334) = 1002 / 1002

GCD(3, 334) = 1

GCD of 468, 420, 429, 334 is 1

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• GCD of 999, 906, 352, 586
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• GCD of 703, 415, 743, 947

1. What is the GCD of 468, 420, 429, 334?

GCD of 468, 420, 429, 334 is 1

2. Where do I get the detailed procedure to find GCD of 468, 420, 429, 334?

You can find a detailed procedure to find GCD of 468, 420, 429, 334 on our page.

3. How to find GCD of 468, 420, 429, 334 on a calculator?

You can find the GCD of 468, 420, 429, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.