GCD of 948, 129, 648 Calculator

Given Input numbers are 948, 129, 648

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

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

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

Greatest Common Divisior

We found the divisors of 948, 129, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 948, 129, 648 is 3.

Therefore, GCD of numbers 948, 129, 648 is 3

Given Input Data is 948, 129, 648

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

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 129 is 3 x 43

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 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(948, 129) = 40764

GCD(948, 129) = ( 948 x 129 ) / 40764

GCD(948, 129) = 122292 / 40764

GCD(948, 129) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 648

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

LCM(3, 648) = 648

GCD(3, 648) = ( 3 x 648 ) / 648

GCD(3, 648) = 1944 / 648

GCD(3, 648) = 3

GCD of 948, 129, 648 is 3

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1. What is the GCD of 948, 129, 648?

GCD of 948, 129, 648 is 3

2. Where do I get the detailed procedure to find GCD of 948, 129, 648?

You can find a detailed procedure to find GCD of 948, 129, 648 on our page.

3. How to find GCD of 948, 129, 648 on a calculator?

You can find the GCD of 948, 129, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.