GCD of 296, 964, 14, 358 Calculator

Given Input numbers are 296, 964, 14, 358

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 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Greatest Common Divisior

We found the divisors of 296, 964, 14, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 964, 14, 358 is 2.

Therefore, GCD of numbers 296, 964, 14, 358 is 2

Given Input Data is 296, 964, 14, 358

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 964 is 2 x 2 x 241

Prime Factorization of 14 is 2 x 7

Prime Factorization of 358 is 2 x 179

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(296, 964) = 71336

GCD(296, 964) = ( 296 x 964 ) / 71336

GCD(296, 964) = 285344 / 71336

GCD(296, 964) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 14

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

LCM(4, 14) = 28

GCD(4, 14) = ( 4 x 14 ) / 28

GCD(4, 14) = 56 / 28

GCD(4, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 358

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

LCM(2, 358) = 358

GCD(2, 358) = ( 2 x 358 ) / 358

GCD(2, 358) = 716 / 358

GCD(2, 358) = 2

GCD of 296, 964, 14, 358 is 2

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1. What is the GCD of 296, 964, 14, 358?

GCD of 296, 964, 14, 358 is 2

2. Where do I get the detailed procedure to find GCD of 296, 964, 14, 358?

You can find a detailed procedure to find GCD of 296, 964, 14, 358 on our page.

3. How to find GCD of 296, 964, 14, 358 on a calculator?

You can find the GCD of 296, 964, 14, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.