GCD of 732, 542, 428 Calculator

Given Input numbers are 732, 542, 428

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

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 542

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

1, 2, 271, 542

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Greatest Common Divisior

We found the divisors of 732, 542, 428 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 542, 428 is 2.

Therefore, GCD of numbers 732, 542, 428 is 2

Given Input Data is 732, 542, 428

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

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 542 is 2 x 271

Prime Factorization of 428 is 2 x 2 x 107

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(732, 542) = 198372

GCD(732, 542) = ( 732 x 542 ) / 198372

GCD(732, 542) = 396744 / 198372

GCD(732, 542) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 428

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

LCM(2, 428) = 428

GCD(2, 428) = ( 2 x 428 ) / 428

GCD(2, 428) = 856 / 428

GCD(2, 428) = 2

GCD of 732, 542, 428 is 2

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1. What is the GCD of 732, 542, 428?

GCD of 732, 542, 428 is 2

2. Where do I get the detailed procedure to find GCD of 732, 542, 428?

You can find a detailed procedure to find GCD of 732, 542, 428 on our page.

3. How to find GCD of 732, 542, 428 on a calculator?

You can find the GCD of 732, 542, 428 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.