GCD of 616, 984, 26, 344 Calculator

Given Input numbers are 616, 984, 26, 344

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 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Greatest Common Divisior

We found the divisors of 616, 984, 26, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 616, 984, 26, 344 is 2.

Therefore, GCD of numbers 616, 984, 26, 344 is 2

Given Input Data is 616, 984, 26, 344

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 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 26 is 2 x 13

Prime Factorization of 344 is 2 x 2 x 2 x 43

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(616, 984) = 75768

GCD(616, 984) = ( 616 x 984 ) / 75768

GCD(616, 984) = 606144 / 75768

GCD(616, 984) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 26

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

LCM(8, 26) = 104

GCD(8, 26) = ( 8 x 26 ) / 104

GCD(8, 26) = 208 / 104

GCD(8, 26) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 344

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

LCM(2, 344) = 344

GCD(2, 344) = ( 2 x 344 ) / 344

GCD(2, 344) = 688 / 344

GCD(2, 344) = 2

GCD of 616, 984, 26, 344 is 2

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• GCD of 328, 616, 78, 258
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1. What is the GCD of 616, 984, 26, 344?

GCD of 616, 984, 26, 344 is 2

2. Where do I get the detailed procedure to find GCD of 616, 984, 26, 344?

You can find a detailed procedure to find GCD of 616, 984, 26, 344 on our page.

3. How to find GCD of 616, 984, 26, 344 on a calculator?

You can find the GCD of 616, 984, 26, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.