GCD of 322, 718, 68, 734 Calculator

Given Input numbers are 322, 718, 68, 734

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

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Greatest Common Divisior

We found the divisors of 322, 718, 68, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 718, 68, 734 is 2.

Therefore, GCD of numbers 322, 718, 68, 734 is 2

Given Input Data is 322, 718, 68, 734

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

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 718 is 2 x 359

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 734 is 2 x 367

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(322, 718) = 115598

GCD(322, 718) = ( 322 x 718 ) / 115598

GCD(322, 718) = 231196 / 115598

GCD(322, 718) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 68

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

LCM(2, 68) = 68

GCD(2, 68) = ( 2 x 68 ) / 68

GCD(2, 68) = 136 / 68

GCD(2, 68) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 734

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

LCM(2, 734) = 734

GCD(2, 734) = ( 2 x 734 ) / 734

GCD(2, 734) = 1468 / 734

GCD(2, 734) = 2

GCD of 322, 718, 68, 734 is 2

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1. What is the GCD of 322, 718, 68, 734?

GCD of 322, 718, 68, 734 is 2

2. Where do I get the detailed procedure to find GCD of 322, 718, 68, 734?

You can find a detailed procedure to find GCD of 322, 718, 68, 734 on our page.

3. How to find GCD of 322, 718, 68, 734 on a calculator?

You can find the GCD of 322, 718, 68, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.