GCD of 564, 118, 56, 262 Calculator

Given Input numbers are 564, 118, 56, 262

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

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 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Greatest Common Divisior

We found the divisors of 564, 118, 56, 262 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 118, 56, 262 is 2.

Therefore, GCD of numbers 564, 118, 56, 262 is 2

Given Input Data is 564, 118, 56, 262

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

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

Prime Factorization of 118 is 2 x 59

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 262 is 2 x 131

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(564, 118) = 33276

GCD(564, 118) = ( 564 x 118 ) / 33276

GCD(564, 118) = 66552 / 33276

GCD(564, 118) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 56

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

LCM(2, 56) = 56

GCD(2, 56) = ( 2 x 56 ) / 56

GCD(2, 56) = 112 / 56

GCD(2, 56) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 262

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

LCM(2, 262) = 262

GCD(2, 262) = ( 2 x 262 ) / 262

GCD(2, 262) = 524 / 262

GCD(2, 262) = 2

GCD of 564, 118, 56, 262 is 2

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1. What is the GCD of 564, 118, 56, 262?

GCD of 564, 118, 56, 262 is 2

2. Where do I get the detailed procedure to find GCD of 564, 118, 56, 262?

You can find a detailed procedure to find GCD of 564, 118, 56, 262 on our page.

3. How to find GCD of 564, 118, 56, 262 on a calculator?

You can find the GCD of 564, 118, 56, 262 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.