GCD of 672, 446, 870, 128 Calculator

Given Input numbers are 672, 446, 870, 128

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

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

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 672, 446, 870, 128 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 672, 446, 870, 128 is 2.

Therefore, GCD of numbers 672, 446, 870, 128 is 2

Given Input Data is 672, 446, 870, 128

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

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 446 is 2 x 223

Prime Factorization of 870 is 2 x 3 x 5 x 29

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(672, 446) = 149856

GCD(672, 446) = ( 672 x 446 ) / 149856

GCD(672, 446) = 299712 / 149856

GCD(672, 446) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 870

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

LCM(2, 870) = 870

GCD(2, 870) = ( 2 x 870 ) / 870

GCD(2, 870) = 1740 / 870

GCD(2, 870) = 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 672, 446, 870, 128 is 2

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1. What is the GCD of 672, 446, 870, 128?

GCD of 672, 446, 870, 128 is 2

2. Where do I get the detailed procedure to find GCD of 672, 446, 870, 128?

You can find a detailed procedure to find GCD of 672, 446, 870, 128 on our page.

3. How to find GCD of 672, 446, 870, 128 on a calculator?

You can find the GCD of 672, 446, 870, 128 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.