GCD of 296, 686, 294, 874 Calculator

Given Input numbers are 296, 686, 294, 874

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 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Greatest Common Divisior

We found the divisors of 296, 686, 294, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 686, 294, 874 is 2.

Therefore, GCD of numbers 296, 686, 294, 874 is 2

Given Input Data is 296, 686, 294, 874

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 686 is 2 x 7 x 7 x 7

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 874 is 2 x 19 x 23

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, 686) = 101528

GCD(296, 686) = ( 296 x 686 ) / 101528

GCD(296, 686) = 203056 / 101528

GCD(296, 686) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 294

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

LCM(2, 294) = 294

GCD(2, 294) = ( 2 x 294 ) / 294

GCD(2, 294) = 588 / 294

GCD(2, 294) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 874

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

LCM(2, 874) = 874

GCD(2, 874) = ( 2 x 874 ) / 874

GCD(2, 874) = 1748 / 874

GCD(2, 874) = 2

GCD of 296, 686, 294, 874 is 2

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1. What is the GCD of 296, 686, 294, 874?

GCD of 296, 686, 294, 874 is 2

2. Where do I get the detailed procedure to find GCD of 296, 686, 294, 874?

You can find a detailed procedure to find GCD of 296, 686, 294, 874 on our page.

3. How to find GCD of 296, 686, 294, 874 on a calculator?

You can find the GCD of 296, 686, 294, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.