GCD of 44, 538, 988, 714 Calculator

Given Input numbers are 44, 538, 988, 714

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

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Greatest Common Divisior

We found the divisors of 44, 538, 988, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 44, 538, 988, 714 is 2.

Therefore, GCD of numbers 44, 538, 988, 714 is 2

Given Input Data is 44, 538, 988, 714

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

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 538 is 2 x 269

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 714 is 2 x 3 x 7 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(44, 538) = 11836

GCD(44, 538) = ( 44 x 538 ) / 11836

GCD(44, 538) = 23672 / 11836

GCD(44, 538) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 988

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

LCM(2, 988) = 988

GCD(2, 988) = ( 2 x 988 ) / 988

GCD(2, 988) = 1976 / 988

GCD(2, 988) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 714

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

LCM(2, 714) = 714

GCD(2, 714) = ( 2 x 714 ) / 714

GCD(2, 714) = 1428 / 714

GCD(2, 714) = 2

GCD of 44, 538, 988, 714 is 2

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1. What is the GCD of 44, 538, 988, 714?

GCD of 44, 538, 988, 714 is 2

2. Where do I get the detailed procedure to find GCD of 44, 538, 988, 714?

You can find a detailed procedure to find GCD of 44, 538, 988, 714 on our page.

3. How to find GCD of 44, 538, 988, 714 on a calculator?

You can find the GCD of 44, 538, 988, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.