GCD of 716, 888, 728, 140 Calculator

Given Input numbers are 716, 888, 728, 140

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 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Greatest Common Divisior

We found the divisors of 716, 888, 728, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 716, 888, 728, 140 is 4.

Therefore, GCD of numbers 716, 888, 728, 140 is 4

Given Input Data is 716, 888, 728, 140

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 888 is 2 x 2 x 2 x 3 x 37

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 140 is 2 x 2 x 5 x 7

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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, 888) = 158952

GCD(716, 888) = ( 716 x 888 ) / 158952

GCD(716, 888) = 635808 / 158952

GCD(716, 888) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 728

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

LCM(4, 728) = 728

GCD(4, 728) = ( 4 x 728 ) / 728

GCD(4, 728) = 2912 / 728

GCD(4, 728) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 140

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

LCM(4, 140) = 140

GCD(4, 140) = ( 4 x 140 ) / 140

GCD(4, 140) = 560 / 140

GCD(4, 140) = 4

GCD of 716, 888, 728, 140 is 4

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1. What is the GCD of 716, 888, 728, 140?

GCD of 716, 888, 728, 140 is 4

2. Where do I get the detailed procedure to find GCD of 716, 888, 728, 140?

You can find a detailed procedure to find GCD of 716, 888, 728, 140 on our page.

3. How to find GCD of 716, 888, 728, 140 on a calculator?

You can find the GCD of 716, 888, 728, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.