GCD of 296, 994, 916, 335 Calculator

Given Input numbers are 296, 994, 916, 335

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

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 335

List of positive integer divisors of 335 that divides 335 without a remainder.

1, 5, 67, 335

Greatest Common Divisior

We found the divisors of 296, 994, 916, 335 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 994, 916, 335 is 1.

Therefore, GCD of numbers 296, 994, 916, 335 is 1

Given Input Data is 296, 994, 916, 335

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

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 335 is 5 x 67

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(296, 994) = 147112

GCD(296, 994) = ( 296 x 994 ) / 147112

GCD(296, 994) = 294224 / 147112

GCD(296, 994) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 916

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

LCM(2, 916) = 916

GCD(2, 916) = ( 2 x 916 ) / 916

GCD(2, 916) = 1832 / 916

GCD(2, 916) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 335

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

LCM(2, 335) = 670

GCD(2, 335) = ( 2 x 335 ) / 670

GCD(2, 335) = 670 / 670

GCD(2, 335) = 1

GCD of 296, 994, 916, 335 is 1

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1. What is the GCD of 296, 994, 916, 335?

GCD of 296, 994, 916, 335 is 1

2. Where do I get the detailed procedure to find GCD of 296, 994, 916, 335?

You can find a detailed procedure to find GCD of 296, 994, 916, 335 on our page.

3. How to find GCD of 296, 994, 916, 335 on a calculator?

You can find the GCD of 296, 994, 916, 335 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.