GCD of 194, 436, 64, 470 Calculator

Given Input numbers are 194, 436, 64, 470

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

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

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

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Greatest Common Divisior

We found the divisors of 194, 436, 64, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 194, 436, 64, 470 is 2.

Therefore, GCD of numbers 194, 436, 64, 470 is 2

Given Input Data is 194, 436, 64, 470

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

Prime Factorization of 194 is 2 x 97

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 470 is 2 x 5 x 47

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(194, 436) = 42292

GCD(194, 436) = ( 194 x 436 ) / 42292

GCD(194, 436) = 84584 / 42292

GCD(194, 436) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 64

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

LCM(2, 64) = 64

GCD(2, 64) = ( 2 x 64 ) / 64

GCD(2, 64) = 128 / 64

GCD(2, 64) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 470

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

LCM(2, 470) = 470

GCD(2, 470) = ( 2 x 470 ) / 470

GCD(2, 470) = 940 / 470

GCD(2, 470) = 2

GCD of 194, 436, 64, 470 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 750, 746, 70, 693
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• GCD of 231, 612, 16, 283

1. What is the GCD of 194, 436, 64, 470?

GCD of 194, 436, 64, 470 is 2

2. Where do I get the detailed procedure to find GCD of 194, 436, 64, 470?

You can find a detailed procedure to find GCD of 194, 436, 64, 470 on our page.

3. How to find GCD of 194, 436, 64, 470 on a calculator?

You can find the GCD of 194, 436, 64, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.