GCD of 236, 514, 644, 102 Calculator

Given Input numbers are 236, 514, 644, 102

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

Divisors of 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Greatest Common Divisior

We found the divisors of 236, 514, 644, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 236, 514, 644, 102 is 2.

Therefore, GCD of numbers 236, 514, 644, 102 is 2

Given Input Data is 236, 514, 644, 102

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

Prime Factorization of 236 is 2 x 2 x 59

Prime Factorization of 514 is 2 x 257

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 102 is 2 x 3 x 17

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(236, 514) = 60652

GCD(236, 514) = ( 236 x 514 ) / 60652

GCD(236, 514) = 121304 / 60652

GCD(236, 514) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 644

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

LCM(2, 644) = 644

GCD(2, 644) = ( 2 x 644 ) / 644

GCD(2, 644) = 1288 / 644

GCD(2, 644) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 102

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

LCM(2, 102) = 102

GCD(2, 102) = ( 2 x 102 ) / 102

GCD(2, 102) = 204 / 102

GCD(2, 102) = 2

GCD of 236, 514, 644, 102 is 2

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1. What is the GCD of 236, 514, 644, 102?

GCD of 236, 514, 644, 102 is 2

2. Where do I get the detailed procedure to find GCD of 236, 514, 644, 102?

You can find a detailed procedure to find GCD of 236, 514, 644, 102 on our page.

3. How to find GCD of 236, 514, 644, 102 on a calculator?

You can find the GCD of 236, 514, 644, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.