GCD of 542, 656, 74, 874 Calculator

Given Input numbers are 542, 656, 74, 874

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 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Greatest Common Divisior

We found the divisors of 542, 656, 74, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 542, 656, 74, 874 is 2.

Therefore, GCD of numbers 542, 656, 74, 874 is 2

Given Input Data is 542, 656, 74, 874

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

Prime Factorization of 542 is 2 x 271

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 74 is 2 x 37

Prime Factorization of 874 is 2 x 19 x 23

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, 656) = 177776

GCD(542, 656) = ( 542 x 656 ) / 177776

GCD(542, 656) = 355552 / 177776

GCD(542, 656) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 74

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

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

GCD(2, 74) = 148 / 74

GCD(2, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 874

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

LCM(2, 874) = 874

GCD(2, 874) = ( 2 x 874 ) / 874

GCD(2, 874) = 1748 / 874

GCD(2, 874) = 2

GCD of 542, 656, 74, 874 is 2

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1. What is the GCD of 542, 656, 74, 874?

GCD of 542, 656, 74, 874 is 2

2. Where do I get the detailed procedure to find GCD of 542, 656, 74, 874?

You can find a detailed procedure to find GCD of 542, 656, 74, 874 on our page.

3. How to find GCD of 542, 656, 74, 874 on a calculator?

You can find the GCD of 542, 656, 74, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.