GCD of 842, 546, 388, 588 Calculator

Given Input numbers are 842, 546, 388, 588

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

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Greatest Common Divisior

We found the divisors of 842, 546, 388, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 842, 546, 388, 588 is 2.

Therefore, GCD of numbers 842, 546, 388, 588 is 2

Given Input Data is 842, 546, 388, 588

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

Prime Factorization of 842 is 2 x 421

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

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(842, 546) = 229866

GCD(842, 546) = ( 842 x 546 ) / 229866

GCD(842, 546) = 459732 / 229866

GCD(842, 546) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 388

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

LCM(2, 388) = 388

GCD(2, 388) = ( 2 x 388 ) / 388

GCD(2, 388) = 776 / 388

GCD(2, 388) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 588

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

LCM(2, 588) = 588

GCD(2, 588) = ( 2 x 588 ) / 588

GCD(2, 588) = 1176 / 588

GCD(2, 588) = 2

GCD of 842, 546, 388, 588 is 2

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1. What is the GCD of 842, 546, 388, 588?

GCD of 842, 546, 388, 588 is 2

2. Where do I get the detailed procedure to find GCD of 842, 546, 388, 588?

You can find a detailed procedure to find GCD of 842, 546, 388, 588 on our page.

3. How to find GCD of 842, 546, 388, 588 on a calculator?

You can find the GCD of 842, 546, 388, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.