GCD of 850, 438, 66, 128 Calculator

Given Input numbers are 850, 438, 66, 128

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

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

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 850, 438, 66, 128 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 850, 438, 66, 128 is 2.

Therefore, GCD of numbers 850, 438, 66, 128 is 2

Given Input Data is 850, 438, 66, 128

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

Prime Factorization of 850 is 2 x 5 x 5 x 17

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 66 is 2 x 3 x 11

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(850, 438) = 186150

GCD(850, 438) = ( 850 x 438 ) / 186150

GCD(850, 438) = 372300 / 186150

GCD(850, 438) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 66

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

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

GCD(2, 66) = 132 / 66

GCD(2, 66) = 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 850, 438, 66, 128 is 2

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1. What is the GCD of 850, 438, 66, 128?

GCD of 850, 438, 66, 128 is 2

2. Where do I get the detailed procedure to find GCD of 850, 438, 66, 128?

You can find a detailed procedure to find GCD of 850, 438, 66, 128 on our page.

3. How to find GCD of 850, 438, 66, 128 on a calculator?

You can find the GCD of 850, 438, 66, 128 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.