GCD of 536, 334, 44, 634 Calculator

Given Input numbers are 536, 334, 44, 634

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

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Greatest Common Divisior

We found the divisors of 536, 334, 44, 634 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 536, 334, 44, 634 is 2.

Therefore, GCD of numbers 536, 334, 44, 634 is 2

Given Input Data is 536, 334, 44, 634

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

Prime Factorization of 536 is 2 x 2 x 2 x 67

Prime Factorization of 334 is 2 x 167

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 634 is 2 x 317

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(536, 334) = 89512

GCD(536, 334) = ( 536 x 334 ) / 89512

GCD(536, 334) = 179024 / 89512

GCD(536, 334) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 44

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

LCM(2, 44) = 44

GCD(2, 44) = ( 2 x 44 ) / 44

GCD(2, 44) = 88 / 44

GCD(2, 44) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 634

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

LCM(2, 634) = 634

GCD(2, 634) = ( 2 x 634 ) / 634

GCD(2, 634) = 1268 / 634

GCD(2, 634) = 2

GCD of 536, 334, 44, 634 is 2

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1. What is the GCD of 536, 334, 44, 634?

GCD of 536, 334, 44, 634 is 2

2. Where do I get the detailed procedure to find GCD of 536, 334, 44, 634?

You can find a detailed procedure to find GCD of 536, 334, 44, 634 on our page.

3. How to find GCD of 536, 334, 44, 634 on a calculator?

You can find the GCD of 536, 334, 44, 634 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.