GCD of 715, 440, 359 Calculator

Given Input numbers are 715, 440, 359

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

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

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 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Greatest Common Divisior

We found the divisors of 715, 440, 359 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 715, 440, 359 is 1.

Therefore, GCD of numbers 715, 440, 359 is 1

Given Input Data is 715, 440, 359

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

Prime Factorization of 715 is 5 x 11 x 13

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

Prime Factorization of 359 is 359

The above numbers do not have any common prime factor. So GCD is 1

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(715, 440) = 5720

GCD(715, 440) = ( 715 x 440 ) / 5720

GCD(715, 440) = 314600 / 5720

GCD(715, 440) = 55

Step2:

Here we consider the GCD from the above i.e. 55 as first number and the next as 359

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

LCM(55, 359) = 19745

GCD(55, 359) = ( 55 x 359 ) / 19745

GCD(55, 359) = 19745 / 19745

GCD(55, 359) = 1

GCD of 715, 440, 359 is 1

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1. What is the GCD of 715, 440, 359?

GCD of 715, 440, 359 is 1

2. Where do I get the detailed procedure to find GCD of 715, 440, 359?

You can find a detailed procedure to find GCD of 715, 440, 359 on our page.

3. How to find GCD of 715, 440, 359 on a calculator?

You can find the GCD of 715, 440, 359 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.