GCD of 106, 574, 140, 564 Calculator

Given Input numbers are 106, 574, 140, 564

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

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Greatest Common Divisior

We found the divisors of 106, 574, 140, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 574, 140, 564 is 2.

Therefore, GCD of numbers 106, 574, 140, 564 is 2

Given Input Data is 106, 574, 140, 564

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 564 is 2 x 2 x 3 x 47

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(106, 574) = 30422

GCD(106, 574) = ( 106 x 574 ) / 30422

GCD(106, 574) = 60844 / 30422

GCD(106, 574) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 140

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

LCM(2, 140) = 140

GCD(2, 140) = ( 2 x 140 ) / 140

GCD(2, 140) = 280 / 140

GCD(2, 140) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 564

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

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

GCD(2, 564) = 1128 / 564

GCD(2, 564) = 2

GCD of 106, 574, 140, 564 is 2

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1. What is the GCD of 106, 574, 140, 564?

GCD of 106, 574, 140, 564 is 2

2. Where do I get the detailed procedure to find GCD of 106, 574, 140, 564?

You can find a detailed procedure to find GCD of 106, 574, 140, 564 on our page.

3. How to find GCD of 106, 574, 140, 564 on a calculator?

You can find the GCD of 106, 574, 140, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.