GCD of 40, 542, 886, 842 Calculator

Given Input numbers are 40, 542, 886, 842

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

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 542

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

1, 2, 271, 542

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Divisors of 842

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

1, 2, 421, 842

Greatest Common Divisior

We found the divisors of 40, 542, 886, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 542, 886, 842 is 2.

Therefore, GCD of numbers 40, 542, 886, 842 is 2

Given Input Data is 40, 542, 886, 842

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 542 is 2 x 271

Prime Factorization of 886 is 2 x 443

Prime Factorization of 842 is 2 x 421

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(40, 542) = 10840

GCD(40, 542) = ( 40 x 542 ) / 10840

GCD(40, 542) = 21680 / 10840

GCD(40, 542) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 886

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

LCM(2, 886) = 886

GCD(2, 886) = ( 2 x 886 ) / 886

GCD(2, 886) = 1772 / 886

GCD(2, 886) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 842

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

LCM(2, 842) = 842

GCD(2, 842) = ( 2 x 842 ) / 842

GCD(2, 842) = 1684 / 842

GCD(2, 842) = 2

GCD of 40, 542, 886, 842 is 2

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1. What is the GCD of 40, 542, 886, 842?

GCD of 40, 542, 886, 842 is 2

2. Where do I get the detailed procedure to find GCD of 40, 542, 886, 842?

You can find a detailed procedure to find GCD of 40, 542, 886, 842 on our page.

3. How to find GCD of 40, 542, 886, 842 on a calculator?

You can find the GCD of 40, 542, 886, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.