GCD of 321, 126, 279, 435 Calculator

Given Input numbers are 321, 126, 279, 435

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

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Greatest Common Divisior

We found the divisors of 321, 126, 279, 435 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 126, 279, 435 is 3.

Therefore, GCD of numbers 321, 126, 279, 435 is 3

Given Input Data is 321, 126, 279, 435

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 435 is 3 x 5 x 29

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(321, 126) = 13482

GCD(321, 126) = ( 321 x 126 ) / 13482

GCD(321, 126) = 40446 / 13482

GCD(321, 126) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 279

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

LCM(3, 279) = 279

GCD(3, 279) = ( 3 x 279 ) / 279

GCD(3, 279) = 837 / 279

GCD(3, 279) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 435

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

LCM(3, 435) = 435

GCD(3, 435) = ( 3 x 435 ) / 435

GCD(3, 435) = 1305 / 435

GCD(3, 435) = 3

GCD of 321, 126, 279, 435 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 578, 271, 500, 144
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• GCD of 733, 342, 622, 822
• GCD of 116, 418, 686, 947

1. What is the GCD of 321, 126, 279, 435?

GCD of 321, 126, 279, 435 is 3

2. Where do I get the detailed procedure to find GCD of 321, 126, 279, 435?

You can find a detailed procedure to find GCD of 321, 126, 279, 435 on our page.

3. How to find GCD of 321, 126, 279, 435 on a calculator?

You can find the GCD of 321, 126, 279, 435 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.