GCD of 542, 698, 54, 386 Calculator

Given Input numbers are 542, 698, 54, 386

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

Divisors of 542

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

1, 2, 271, 542

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Greatest Common Divisior

We found the divisors of 542, 698, 54, 386 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 542, 698, 54, 386 is 2.

Therefore, GCD of numbers 542, 698, 54, 386 is 2

Given Input Data is 542, 698, 54, 386

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

Prime Factorization of 542 is 2 x 271

Prime Factorization of 698 is 2 x 349

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 386 is 2 x 193

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(542, 698) = 189158

GCD(542, 698) = ( 542 x 698 ) / 189158

GCD(542, 698) = 378316 / 189158

GCD(542, 698) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 54

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

LCM(2, 54) = 54

GCD(2, 54) = ( 2 x 54 ) / 54

GCD(2, 54) = 108 / 54

GCD(2, 54) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 386

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

LCM(2, 386) = 386

GCD(2, 386) = ( 2 x 386 ) / 386

GCD(2, 386) = 772 / 386

GCD(2, 386) = 2

GCD of 542, 698, 54, 386 is 2

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1. What is the GCD of 542, 698, 54, 386?

GCD of 542, 698, 54, 386 is 2

2. Where do I get the detailed procedure to find GCD of 542, 698, 54, 386?

You can find a detailed procedure to find GCD of 542, 698, 54, 386 on our page.

3. How to find GCD of 542, 698, 54, 386 on a calculator?

You can find the GCD of 542, 698, 54, 386 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.