GCD of 702, 440, 334 Calculator

Given Input numbers are 702, 440, 334

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

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Greatest Common Divisior

We found the divisors of 702, 440, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 702, 440, 334 is 2.

Therefore, GCD of numbers 702, 440, 334 is 2

Given Input Data is 702, 440, 334

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

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 334 is 2 x 167

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(702, 440) = 154440

GCD(702, 440) = ( 702 x 440 ) / 154440

GCD(702, 440) = 308880 / 154440

GCD(702, 440) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 334

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

LCM(2, 334) = 334

GCD(2, 334) = ( 2 x 334 ) / 334

GCD(2, 334) = 668 / 334

GCD(2, 334) = 2

GCD of 702, 440, 334 is 2

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1. What is the GCD of 702, 440, 334?

GCD of 702, 440, 334 is 2

2. Where do I get the detailed procedure to find GCD of 702, 440, 334?

You can find a detailed procedure to find GCD of 702, 440, 334 on our page.

3. How to find GCD of 702, 440, 334 on a calculator?

You can find the GCD of 702, 440, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.