GCD of 303, 354, 288, 126 Calculator

Given Input numbers are 303, 354, 288, 126

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

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

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

Greatest Common Divisior

We found the divisors of 303, 354, 288, 126 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 303, 354, 288, 126 is 3.

Therefore, GCD of numbers 303, 354, 288, 126 is 3

Given Input Data is 303, 354, 288, 126

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

Prime Factorization of 303 is 3 x 101

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

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

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(303, 354) = 35754

GCD(303, 354) = ( 303 x 354 ) / 35754

GCD(303, 354) = 107262 / 35754

GCD(303, 354) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 288

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

LCM(3, 288) = 288

GCD(3, 288) = ( 3 x 288 ) / 288

GCD(3, 288) = 864 / 288

GCD(3, 288) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 126

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

LCM(3, 126) = 126

GCD(3, 126) = ( 3 x 126 ) / 126

GCD(3, 126) = 378 / 126

GCD(3, 126) = 3

GCD of 303, 354, 288, 126 is 3

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1. What is the GCD of 303, 354, 288, 126?

GCD of 303, 354, 288, 126 is 3

2. Where do I get the detailed procedure to find GCD of 303, 354, 288, 126?

You can find a detailed procedure to find GCD of 303, 354, 288, 126 on our page.

3. How to find GCD of 303, 354, 288, 126 on a calculator?

You can find the GCD of 303, 354, 288, 126 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.