GCD of 718, 320, 388, 740 Calculator

Given Input numbers are 718, 320, 388, 740

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

Divisors of 718

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

1, 2, 359, 718

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Greatest Common Divisior

We found the divisors of 718, 320, 388, 740 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 718, 320, 388, 740 is 2.

Therefore, GCD of numbers 718, 320, 388, 740 is 2

Given Input Data is 718, 320, 388, 740

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

Prime Factorization of 718 is 2 x 359

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 740 is 2 x 2 x 5 x 37

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(718, 320) = 114880

GCD(718, 320) = ( 718 x 320 ) / 114880

GCD(718, 320) = 229760 / 114880

GCD(718, 320) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 388

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

LCM(2, 388) = 388

GCD(2, 388) = ( 2 x 388 ) / 388

GCD(2, 388) = 776 / 388

GCD(2, 388) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 740

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

LCM(2, 740) = 740

GCD(2, 740) = ( 2 x 740 ) / 740

GCD(2, 740) = 1480 / 740

GCD(2, 740) = 2

GCD of 718, 320, 388, 740 is 2

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 718, 320, 388, 740?

GCD of 718, 320, 388, 740 is 2

2. Where do I get the detailed procedure to find GCD of 718, 320, 388, 740?

You can find a detailed procedure to find GCD of 718, 320, 388, 740 on our page.

3. How to find GCD of 718, 320, 388, 740 on a calculator?

You can find the GCD of 718, 320, 388, 740 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.