GCD of 294, 350, 916, 492 Calculator

Given Input numbers are 294, 350, 916, 492

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

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 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 916

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

1, 2, 4, 229, 458, 916

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Greatest Common Divisior

We found the divisors of 294, 350, 916, 492 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 350, 916, 492 is 2.

Therefore, GCD of numbers 294, 350, 916, 492 is 2

Given Input Data is 294, 350, 916, 492

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

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

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 492 is 2 x 2 x 3 x 41

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(294, 350) = 7350

GCD(294, 350) = ( 294 x 350 ) / 7350

GCD(294, 350) = 102900 / 7350

GCD(294, 350) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 916

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

LCM(14, 916) = 6412

GCD(14, 916) = ( 14 x 916 ) / 6412

GCD(14, 916) = 12824 / 6412

GCD(14, 916) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 492

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

LCM(2, 492) = 492

GCD(2, 492) = ( 2 x 492 ) / 492

GCD(2, 492) = 984 / 492

GCD(2, 492) = 2

GCD of 294, 350, 916, 492 is 2

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1. What is the GCD of 294, 350, 916, 492?

GCD of 294, 350, 916, 492 is 2

2. Where do I get the detailed procedure to find GCD of 294, 350, 916, 492?

You can find a detailed procedure to find GCD of 294, 350, 916, 492 on our page.

3. How to find GCD of 294, 350, 916, 492 on a calculator?

You can find the GCD of 294, 350, 916, 492 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.