GCD of 748, 286, 718 Calculator

Given Input numbers are 748, 286, 718

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

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

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 718

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

1, 2, 359, 718

Greatest Common Divisior

We found the divisors of 748, 286, 718 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 286, 718 is 2.

Therefore, GCD of numbers 748, 286, 718 is 2

Given Input Data is 748, 286, 718

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

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

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 718 is 2 x 359

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(748, 286) = 9724

GCD(748, 286) = ( 748 x 286 ) / 9724

GCD(748, 286) = 213928 / 9724

GCD(748, 286) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 718

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

LCM(22, 718) = 7898

GCD(22, 718) = ( 22 x 718 ) / 7898

GCD(22, 718) = 15796 / 7898

GCD(22, 718) = 2

GCD of 748, 286, 718 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 453, 194, 288
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1. What is the GCD of 748, 286, 718?

GCD of 748, 286, 718 is 2

2. Where do I get the detailed procedure to find GCD of 748, 286, 718?

You can find a detailed procedure to find GCD of 748, 286, 718 on our page.

3. How to find GCD of 748, 286, 718 on a calculator?

You can find the GCD of 748, 286, 718 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.