GCD of 350, 434, 676 Calculator

Given Input numbers are 350, 434, 676

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 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Greatest Common Divisior

We found the divisors of 350, 434, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 434, 676 is 2.

Therefore, GCD of numbers 350, 434, 676 is 2

Given Input Data is 350, 434, 676

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 434 is 2 x 7 x 31

Prime Factorization of 676 is 2 x 2 x 13 x 13

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, 434) = 10850

GCD(350, 434) = ( 350 x 434 ) / 10850

GCD(350, 434) = 151900 / 10850

GCD(350, 434) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 676

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

LCM(14, 676) = 4732

GCD(14, 676) = ( 14 x 676 ) / 4732

GCD(14, 676) = 9464 / 4732

GCD(14, 676) = 2

GCD of 350, 434, 676 is 2

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1. What is the GCD of 350, 434, 676?

GCD of 350, 434, 676 is 2

2. Where do I get the detailed procedure to find GCD of 350, 434, 676?

You can find a detailed procedure to find GCD of 350, 434, 676 on our page.

3. How to find GCD of 350, 434, 676 on a calculator?

You can find the GCD of 350, 434, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.