GCD of 994, 348, 632, 128 Calculator

Given Input numbers are 994, 348, 632, 128

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

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Greatest Common Divisior

We found the divisors of 994, 348, 632, 128 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 994, 348, 632, 128 is 2.

Therefore, GCD of numbers 994, 348, 632, 128 is 2

Given Input Data is 994, 348, 632, 128

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

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(994, 348) = 172956

GCD(994, 348) = ( 994 x 348 ) / 172956

GCD(994, 348) = 345912 / 172956

GCD(994, 348) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 632

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

LCM(2, 632) = 632

GCD(2, 632) = ( 2 x 632 ) / 632

GCD(2, 632) = 1264 / 632

GCD(2, 632) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 128

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

LCM(2, 128) = 128

GCD(2, 128) = ( 2 x 128 ) / 128

GCD(2, 128) = 256 / 128

GCD(2, 128) = 2

GCD of 994, 348, 632, 128 is 2

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1. What is the GCD of 994, 348, 632, 128?

GCD of 994, 348, 632, 128 is 2

2. Where do I get the detailed procedure to find GCD of 994, 348, 632, 128?

You can find a detailed procedure to find GCD of 994, 348, 632, 128 on our page.

3. How to find GCD of 994, 348, 632, 128 on a calculator?

You can find the GCD of 994, 348, 632, 128 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.