GCD of 345, 456, 144 Calculator

Given Input numbers are 345, 456, 144

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

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

Greatest Common Divisior

We found the divisors of 345, 456, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 456, 144 is 3.

Therefore, GCD of numbers 345, 456, 144 is 3

Given Input Data is 345, 456, 144

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

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(345, 456) = 52440

GCD(345, 456) = ( 345 x 456 ) / 52440

GCD(345, 456) = 157320 / 52440

GCD(345, 456) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 144

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

LCM(3, 144) = 144

GCD(3, 144) = ( 3 x 144 ) / 144

GCD(3, 144) = 432 / 144

GCD(3, 144) = 3

GCD of 345, 456, 144 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 866, 261, 612
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• GCD of 324, 607, 228
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1. What is the GCD of 345, 456, 144?

GCD of 345, 456, 144 is 3

2. Where do I get the detailed procedure to find GCD of 345, 456, 144?

You can find a detailed procedure to find GCD of 345, 456, 144 on our page.

3. How to find GCD of 345, 456, 144 on a calculator?

You can find the GCD of 345, 456, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.