GCD of 716, 998, 278, 748 Calculator

Given Input numbers are 716, 998, 278, 748

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 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 278

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

1, 2, 139, 278

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 716, 998, 278, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 716, 998, 278, 748 is 2.

Therefore, GCD of numbers 716, 998, 278, 748 is 2

Given Input Data is 716, 998, 278, 748

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 998 is 2 x 499

Prime Factorization of 278 is 2 x 139

Prime Factorization of 748 is 2 x 2 x 11 x 17

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(716, 998) = 357284

GCD(716, 998) = ( 716 x 998 ) / 357284

GCD(716, 998) = 714568 / 357284

GCD(716, 998) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 278

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

LCM(2, 278) = 278

GCD(2, 278) = ( 2 x 278 ) / 278

GCD(2, 278) = 556 / 278

GCD(2, 278) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 748

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

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

GCD(2, 748) = 1496 / 748

GCD(2, 748) = 2

GCD of 716, 998, 278, 748 is 2

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1. What is the GCD of 716, 998, 278, 748?

GCD of 716, 998, 278, 748 is 2

2. Where do I get the detailed procedure to find GCD of 716, 998, 278, 748?

You can find a detailed procedure to find GCD of 716, 998, 278, 748 on our page.

3. How to find GCD of 716, 998, 278, 748 on a calculator?

You can find the GCD of 716, 998, 278, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.