GCD of 340, 564, 52, 182 Calculator

Given Input numbers are 340, 564, 52, 182

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

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

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

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Greatest Common Divisior

We found the divisors of 340, 564, 52, 182 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 564, 52, 182 is 2.

Therefore, GCD of numbers 340, 564, 52, 182 is 2

Given Input Data is 340, 564, 52, 182

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

Prime Factorization of 340 is 2 x 2 x 5 x 17

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

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 182 is 2 x 7 x 13

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(340, 564) = 47940

GCD(340, 564) = ( 340 x 564 ) / 47940

GCD(340, 564) = 191760 / 47940

GCD(340, 564) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 52

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

LCM(4, 52) = 52

GCD(4, 52) = ( 4 x 52 ) / 52

GCD(4, 52) = 208 / 52

GCD(4, 52) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 182

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

LCM(4, 182) = 364

GCD(4, 182) = ( 4 x 182 ) / 364

GCD(4, 182) = 728 / 364

GCD(4, 182) = 2

GCD of 340, 564, 52, 182 is 2

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1. What is the GCD of 340, 564, 52, 182?

GCD of 340, 564, 52, 182 is 2

2. Where do I get the detailed procedure to find GCD of 340, 564, 52, 182?

You can find a detailed procedure to find GCD of 340, 564, 52, 182 on our page.

3. How to find GCD of 340, 564, 52, 182 on a calculator?

You can find the GCD of 340, 564, 52, 182 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.