GCD of 388, 840, 516, 102 Calculator

Given Input numbers are 388, 840, 516, 102

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

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

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 388, 840, 516, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 388, 840, 516, 102 is 2.

Therefore, GCD of numbers 388, 840, 516, 102 is 2

Given Input Data is 388, 840, 516, 102

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

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 516 is 2 x 2 x 3 x 43

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(388, 840) = 81480

GCD(388, 840) = ( 388 x 840 ) / 81480

GCD(388, 840) = 325920 / 81480

GCD(388, 840) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 516

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

LCM(4, 516) = 516

GCD(4, 516) = ( 4 x 516 ) / 516

GCD(4, 516) = 2064 / 516

GCD(4, 516) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 102

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

LCM(4, 102) = 204

GCD(4, 102) = ( 4 x 102 ) / 204

GCD(4, 102) = 408 / 204

GCD(4, 102) = 2

GCD of 388, 840, 516, 102 is 2

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1. What is the GCD of 388, 840, 516, 102?

GCD of 388, 840, 516, 102 is 2

2. Where do I get the detailed procedure to find GCD of 388, 840, 516, 102?

You can find a detailed procedure to find GCD of 388, 840, 516, 102 on our page.

3. How to find GCD of 388, 840, 516, 102 on a calculator?

You can find the GCD of 388, 840, 516, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.