GCD of 904, 516, 76, 214 Calculator

Given Input numbers are 904, 516, 76, 214

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

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

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 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 904, 516, 76, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 904, 516, 76, 214 is 2.

Therefore, GCD of numbers 904, 516, 76, 214 is 2

Given Input Data is 904, 516, 76, 214

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

Prime Factorization of 904 is 2 x 2 x 2 x 113

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

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 214 is 2 x 107

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(904, 516) = 116616

GCD(904, 516) = ( 904 x 516 ) / 116616

GCD(904, 516) = 466464 / 116616

GCD(904, 516) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 76

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

LCM(4, 76) = 76

GCD(4, 76) = ( 4 x 76 ) / 76

GCD(4, 76) = 304 / 76

GCD(4, 76) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 214

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

LCM(4, 214) = 428

GCD(4, 214) = ( 4 x 214 ) / 428

GCD(4, 214) = 856 / 428

GCD(4, 214) = 2

GCD of 904, 516, 76, 214 is 2

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• GCD of 990, 823, 29, 313
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• GCD of 899, 473, 76, 183

1. What is the GCD of 904, 516, 76, 214?

GCD of 904, 516, 76, 214 is 2

2. Where do I get the detailed procedure to find GCD of 904, 516, 76, 214?

You can find a detailed procedure to find GCD of 904, 516, 76, 214 on our page.

3. How to find GCD of 904, 516, 76, 214 on a calculator?

You can find the GCD of 904, 516, 76, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.