GCD of 114, 542, 72, 738 Calculator

Given Input numbers are 114, 542, 72, 738

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

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 114, 542, 72, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 542, 72, 738 is 2.

Therefore, GCD of numbers 114, 542, 72, 738 is 2

Given Input Data is 114, 542, 72, 738

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

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 542 is 2 x 271

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 738 is 2 x 3 x 3 x 41

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(114, 542) = 30894

GCD(114, 542) = ( 114 x 542 ) / 30894

GCD(114, 542) = 61788 / 30894

GCD(114, 542) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 72

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

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

GCD(2, 72) = 144 / 72

GCD(2, 72) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 738

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

LCM(2, 738) = 738

GCD(2, 738) = ( 2 x 738 ) / 738

GCD(2, 738) = 1476 / 738

GCD(2, 738) = 2

GCD of 114, 542, 72, 738 is 2

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1. What is the GCD of 114, 542, 72, 738?

GCD of 114, 542, 72, 738 is 2

2. Where do I get the detailed procedure to find GCD of 114, 542, 72, 738?

You can find a detailed procedure to find GCD of 114, 542, 72, 738 on our page.

3. How to find GCD of 114, 542, 72, 738 on a calculator?

You can find the GCD of 114, 542, 72, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.