GCD of 716, 278, 349, 408 Calculator

Given Input numbers are 716, 278, 349, 408

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

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 716, 278, 349, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 716, 278, 349, 408 is 1.

Therefore, GCD of numbers 716, 278, 349, 408 is 1

Given Input Data is 716, 278, 349, 408

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

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 278 is 2 x 139

Prime Factorization of 349 is 349

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

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(716, 278) = 99524

GCD(716, 278) = ( 716 x 278 ) / 99524

GCD(716, 278) = 199048 / 99524

GCD(716, 278) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 349

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

LCM(2, 349) = 698

GCD(2, 349) = ( 2 x 349 ) / 698

GCD(2, 349) = 698 / 698

GCD(2, 349) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 408

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

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

GCD(1, 408) = 408 / 408

GCD(1, 408) = 1

GCD of 716, 278, 349, 408 is 1

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1. What is the GCD of 716, 278, 349, 408?

GCD of 716, 278, 349, 408 is 1

2. Where do I get the detailed procedure to find GCD of 716, 278, 349, 408?

You can find a detailed procedure to find GCD of 716, 278, 349, 408 on our page.

3. How to find GCD of 716, 278, 349, 408 on a calculator?

You can find the GCD of 716, 278, 349, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.