GCD of 350, 814, 292 Calculator

Given Input numbers are 350, 814, 292

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 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Greatest Common Divisior

We found the divisors of 350, 814, 292 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 814, 292 is 2.

Therefore, GCD of numbers 350, 814, 292 is 2

Given Input Data is 350, 814, 292

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 814 is 2 x 11 x 37

Prime Factorization of 292 is 2 x 2 x 73

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, 814) = 142450

GCD(350, 814) = ( 350 x 814 ) / 142450

GCD(350, 814) = 284900 / 142450

GCD(350, 814) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 292

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

LCM(2, 292) = 292

GCD(2, 292) = ( 2 x 292 ) / 292

GCD(2, 292) = 584 / 292

GCD(2, 292) = 2

GCD of 350, 814, 292 is 2

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1. What is the GCD of 350, 814, 292?

GCD of 350, 814, 292 is 2

2. Where do I get the detailed procedure to find GCD of 350, 814, 292?

You can find a detailed procedure to find GCD of 350, 814, 292 on our page.

3. How to find GCD of 350, 814, 292 on a calculator?

You can find the GCD of 350, 814, 292 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.