GCD of 350, 410, 716, 794 Calculator

Given Input numbers are 350, 410, 716, 794

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 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Greatest Common Divisior

We found the divisors of 350, 410, 716, 794 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 410, 716, 794 is 2.

Therefore, GCD of numbers 350, 410, 716, 794 is 2

Given Input Data is 350, 410, 716, 794

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 410 is 2 x 5 x 41

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 794 is 2 x 397

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, 410) = 14350

GCD(350, 410) = ( 350 x 410 ) / 14350

GCD(350, 410) = 143500 / 14350

GCD(350, 410) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 716

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

LCM(10, 716) = 3580

GCD(10, 716) = ( 10 x 716 ) / 3580

GCD(10, 716) = 7160 / 3580

GCD(10, 716) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 794

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

LCM(2, 794) = 794

GCD(2, 794) = ( 2 x 794 ) / 794

GCD(2, 794) = 1588 / 794

GCD(2, 794) = 2

GCD of 350, 410, 716, 794 is 2

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1. What is the GCD of 350, 410, 716, 794?

GCD of 350, 410, 716, 794 is 2

2. Where do I get the detailed procedure to find GCD of 350, 410, 716, 794?

You can find a detailed procedure to find GCD of 350, 410, 716, 794 on our page.

3. How to find GCD of 350, 410, 716, 794 on a calculator?

You can find the GCD of 350, 410, 716, 794 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.