GCD of 616, 318, 343, 284 Calculator

Given Input numbers are 616, 318, 343, 284

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

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Greatest Common Divisior

We found the divisors of 616, 318, 343, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 616, 318, 343, 284 is 1.

Therefore, GCD of numbers 616, 318, 343, 284 is 1

Given Input Data is 616, 318, 343, 284

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

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 284 is 2 x 2 x 71

The above numbers do not have any common prime factor. So GCD is 1

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(616, 318) = 97944

GCD(616, 318) = ( 616 x 318 ) / 97944

GCD(616, 318) = 195888 / 97944

GCD(616, 318) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 343

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

LCM(2, 343) = 686

GCD(2, 343) = ( 2 x 343 ) / 686

GCD(2, 343) = 686 / 686

GCD(2, 343) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 284

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

LCM(1, 284) = 284

GCD(1, 284) = ( 1 x 284 ) / 284

GCD(1, 284) = 284 / 284

GCD(1, 284) = 1

GCD of 616, 318, 343, 284 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 468, 852, 416, 178
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• GCD of 395, 718, 962, 908
• GCD of 554, 733, 307, 655
• GCD of 223, 344, 389, 801

1. What is the GCD of 616, 318, 343, 284?

GCD of 616, 318, 343, 284 is 1

2. Where do I get the detailed procedure to find GCD of 616, 318, 343, 284?

You can find a detailed procedure to find GCD of 616, 318, 343, 284 on our page.

3. How to find GCD of 616, 318, 343, 284 on a calculator?

You can find the GCD of 616, 318, 343, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.