GCD of 350, 492, 118 Calculator

Given Input numbers are 350, 492, 118

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

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 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

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Greatest Common Divisior

We found the divisors of 350, 492, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 492, 118 is 2.

Therefore, GCD of numbers 350, 492, 118 is 2

Given Input Data is 350, 492, 118

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

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

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

Prime Factorization of 118 is 2 x 59

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(350, 492) = 86100

GCD(350, 492) = ( 350 x 492 ) / 86100

GCD(350, 492) = 172200 / 86100

GCD(350, 492) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 118

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

LCM(2, 118) = 118

GCD(2, 118) = ( 2 x 118 ) / 118

GCD(2, 118) = 236 / 118

GCD(2, 118) = 2

GCD of 350, 492, 118 is 2

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1. What is the GCD of 350, 492, 118?

GCD of 350, 492, 118 is 2

2. Where do I get the detailed procedure to find GCD of 350, 492, 118?

You can find a detailed procedure to find GCD of 350, 492, 118 on our page.

3. How to find GCD of 350, 492, 118 on a calculator?

You can find the GCD of 350, 492, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.