GCD of 354, 660, 144 Calculator

Given Input numbers are 354, 660, 144

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

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 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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 354, 660, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 660, 144 is 6.

Therefore, GCD of numbers 354, 660, 144 is 6

Given Input Data is 354, 660, 144

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

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

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(354, 660) = 38940

GCD(354, 660) = ( 354 x 660 ) / 38940

GCD(354, 660) = 233640 / 38940

GCD(354, 660) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 144

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

LCM(6, 144) = 144

GCD(6, 144) = ( 6 x 144 ) / 144

GCD(6, 144) = 864 / 144

GCD(6, 144) = 6

GCD of 354, 660, 144 is 6

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• GCD of 841, 342, 934
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1. What is the GCD of 354, 660, 144?

GCD of 354, 660, 144 is 6

2. Where do I get the detailed procedure to find GCD of 354, 660, 144?

You can find a detailed procedure to find GCD of 354, 660, 144 on our page.

3. How to find GCD of 354, 660, 144 on a calculator?

You can find the GCD of 354, 660, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.