GCD of 660, 120, 84, 900 Calculator

Given Input numbers are 660, 120, 84, 900

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

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 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Greatest Common Divisior

We found the divisors of 660, 120, 84, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 120, 84, 900 is 12.

Therefore, GCD of numbers 660, 120, 84, 900 is 12

Given Input Data is 660, 120, 84, 900

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

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

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Highest common occurrences in the given inputs are 2² x 3¹

Multiplying them we get the GCD as 12

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(660, 120) = 1320

GCD(660, 120) = ( 660 x 120 ) / 1320

GCD(660, 120) = 79200 / 1320

GCD(660, 120) = 60

Step2:

Here we consider the GCD from the above i.e. 60 as first number and the next as 84

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

LCM(60, 84) = 420

GCD(60, 84) = ( 60 x 84 ) / 420

GCD(60, 84) = 5040 / 420

GCD(60, 84) = 12

Step3:

Here we consider the GCD from the above i.e. 12 as first number and the next as 900

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

LCM(12, 900) = 900

GCD(12, 900) = ( 12 x 900 ) / 900

GCD(12, 900) = 10800 / 900

GCD(12, 900) = 12

GCD of 660, 120, 84, 900 is 12

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• GCD of 444, 493, 52, 307
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1. What is the GCD of 660, 120, 84, 900?

GCD of 660, 120, 84, 900 is 12

2. Where do I get the detailed procedure to find GCD of 660, 120, 84, 900?

You can find a detailed procedure to find GCD of 660, 120, 84, 900 on our page.

3. How to find GCD of 660, 120, 84, 900 on a calculator?

You can find the GCD of 660, 120, 84, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.