GCD of 657, 360, 54, 330 Calculator

Given Input numbers are 657, 360, 54, 330

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

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Greatest Common Divisior

We found the divisors of 657, 360, 54, 330 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 360, 54, 330 is 3.

Therefore, GCD of numbers 657, 360, 54, 330 is 3

Given Input Data is 657, 360, 54, 330

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

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 330 is 2 x 3 x 5 x 11

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(657, 360) = 26280

GCD(657, 360) = ( 657 x 360 ) / 26280

GCD(657, 360) = 236520 / 26280

GCD(657, 360) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 54

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

LCM(9, 54) = 54

GCD(9, 54) = ( 9 x 54 ) / 54

GCD(9, 54) = 486 / 54

GCD(9, 54) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 330

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

LCM(9, 330) = 990

GCD(9, 330) = ( 9 x 330 ) / 990

GCD(9, 330) = 2970 / 990

GCD(9, 330) = 3

GCD of 657, 360, 54, 330 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 878, 681, 26, 931
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• GCD of 882, 847, 68, 573
• GCD of 305, 283, 94, 793
• GCD of 445, 158, 26, 839

1. What is the GCD of 657, 360, 54, 330?

GCD of 657, 360, 54, 330 is 3

2. Where do I get the detailed procedure to find GCD of 657, 360, 54, 330?

You can find a detailed procedure to find GCD of 657, 360, 54, 330 on our page.

3. How to find GCD of 657, 360, 54, 330 on a calculator?

You can find the GCD of 657, 360, 54, 330 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.