GCD of 562, 194, 42, 114 Calculator

Given Input numbers are 562, 194, 42, 114

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

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 562, 194, 42, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 562, 194, 42, 114 is 2.

Therefore, GCD of numbers 562, 194, 42, 114 is 2

Given Input Data is 562, 194, 42, 114

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

Prime Factorization of 562 is 2 x 281

Prime Factorization of 194 is 2 x 97

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 114 is 2 x 3 x 19

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(562, 194) = 54514

GCD(562, 194) = ( 562 x 194 ) / 54514

GCD(562, 194) = 109028 / 54514

GCD(562, 194) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 42

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

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

GCD(2, 42) = 84 / 42

GCD(2, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 114

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

LCM(2, 114) = 114

GCD(2, 114) = ( 2 x 114 ) / 114

GCD(2, 114) = 228 / 114

GCD(2, 114) = 2

GCD of 562, 194, 42, 114 is 2

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• GCD of 766, 873, 37, 281
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• GCD of 856, 687, 67, 780

1. What is the GCD of 562, 194, 42, 114?

GCD of 562, 194, 42, 114 is 2

2. Where do I get the detailed procedure to find GCD of 562, 194, 42, 114?

You can find a detailed procedure to find GCD of 562, 194, 42, 114 on our page.

3. How to find GCD of 562, 194, 42, 114 on a calculator?

You can find the GCD of 562, 194, 42, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.