GCD of 392, 702, 110, 424 Calculator

Given Input numbers are 392, 702, 110, 424

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

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

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 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Greatest Common Divisior

We found the divisors of 392, 702, 110, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 702, 110, 424 is 2.

Therefore, GCD of numbers 392, 702, 110, 424 is 2

Given Input Data is 392, 702, 110, 424

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

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

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

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 424 is 2 x 2 x 2 x 53

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(392, 702) = 137592

GCD(392, 702) = ( 392 x 702 ) / 137592

GCD(392, 702) = 275184 / 137592

GCD(392, 702) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 110

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

LCM(2, 110) = 110

GCD(2, 110) = ( 2 x 110 ) / 110

GCD(2, 110) = 220 / 110

GCD(2, 110) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 424

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

LCM(2, 424) = 424

GCD(2, 424) = ( 2 x 424 ) / 424

GCD(2, 424) = 848 / 424

GCD(2, 424) = 2

GCD of 392, 702, 110, 424 is 2

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1. What is the GCD of 392, 702, 110, 424?

GCD of 392, 702, 110, 424 is 2

2. Where do I get the detailed procedure to find GCD of 392, 702, 110, 424?

You can find a detailed procedure to find GCD of 392, 702, 110, 424 on our page.

3. How to find GCD of 392, 702, 110, 424 on a calculator?

You can find the GCD of 392, 702, 110, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.