GCD of 516, 172, 64, 218 Calculator

Given Input numbers are 516, 172, 64, 218

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

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 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

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 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Greatest Common Divisior

We found the divisors of 516, 172, 64, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 172, 64, 218 is 2.

Therefore, GCD of numbers 516, 172, 64, 218 is 2

Given Input Data is 516, 172, 64, 218

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

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

Prime Factorization of 172 is 2 x 2 x 43

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

Prime Factorization of 218 is 2 x 109

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(516, 172) = 516

GCD(516, 172) = ( 516 x 172 ) / 516

GCD(516, 172) = 88752 / 516

GCD(516, 172) = 172

Step2:

Here we consider the GCD from the above i.e. 172 as first number and the next as 64

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

LCM(172, 64) = 2752

GCD(172, 64) = ( 172 x 64 ) / 2752

GCD(172, 64) = 11008 / 2752

GCD(172, 64) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 218

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

LCM(4, 218) = 436

GCD(4, 218) = ( 4 x 218 ) / 436

GCD(4, 218) = 872 / 436

GCD(4, 218) = 2

GCD of 516, 172, 64, 218 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 956, 534, 79, 469
• GCD of 230, 333, 64, 399
• GCD of 368, 746, 40, 544
• GCD of 497, 628, 44, 574
• GCD of 346, 431, 48, 761

1. What is the GCD of 516, 172, 64, 218?

GCD of 516, 172, 64, 218 is 2

2. Where do I get the detailed procedure to find GCD of 516, 172, 64, 218?

You can find a detailed procedure to find GCD of 516, 172, 64, 218 on our page.

3. How to find GCD of 516, 172, 64, 218 on a calculator?

You can find the GCD of 516, 172, 64, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.