GCD of 120, 648, 88, 904 Calculator

Given Input numbers are 120, 648, 88, 904

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

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 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Greatest Common Divisior

We found the divisors of 120, 648, 88, 904 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 648, 88, 904 is 8.

Therefore, GCD of numbers 120, 648, 88, 904 is 8

Given Input Data is 120, 648, 88, 904

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

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

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 904 is 2 x 2 x 2 x 113

Highest common occurrences in the given inputs are 2³

Multiplying them we get the GCD as 8

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(120, 648) = 3240

GCD(120, 648) = ( 120 x 648 ) / 3240

GCD(120, 648) = 77760 / 3240

GCD(120, 648) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 88

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

LCM(24, 88) = 264

GCD(24, 88) = ( 24 x 88 ) / 264

GCD(24, 88) = 2112 / 264

GCD(24, 88) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 904

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

LCM(8, 904) = 904

GCD(8, 904) = ( 8 x 904 ) / 904

GCD(8, 904) = 7232 / 904

GCD(8, 904) = 8

GCD of 120, 648, 88, 904 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 324, 512, 73, 638
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• GCD of 113, 725, 46, 789
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• GCD of 491, 140, 41, 801

1. What is the GCD of 120, 648, 88, 904?

GCD of 120, 648, 88, 904 is 8

2. Where do I get the detailed procedure to find GCD of 120, 648, 88, 904?

You can find a detailed procedure to find GCD of 120, 648, 88, 904 on our page.

3. How to find GCD of 120, 648, 88, 904 on a calculator?

You can find the GCD of 120, 648, 88, 904 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.