GCD of 268, 608, 52, 478 Calculator

Given Input numbers are 268, 608, 52, 478

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

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 52

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

1, 2, 4, 13, 26, 52

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Greatest Common Divisior

We found the divisors of 268, 608, 52, 478 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 608, 52, 478 is 2.

Therefore, GCD of numbers 268, 608, 52, 478 is 2

Given Input Data is 268, 608, 52, 478

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

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 478 is 2 x 239

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(268, 608) = 40736

GCD(268, 608) = ( 268 x 608 ) / 40736

GCD(268, 608) = 162944 / 40736

GCD(268, 608) = 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 478

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

LCM(4, 478) = 956

GCD(4, 478) = ( 4 x 478 ) / 956

GCD(4, 478) = 1912 / 956

GCD(4, 478) = 2

GCD of 268, 608, 52, 478 is 2

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1. What is the GCD of 268, 608, 52, 478?

GCD of 268, 608, 52, 478 is 2

2. Where do I get the detailed procedure to find GCD of 268, 608, 52, 478?

You can find a detailed procedure to find GCD of 268, 608, 52, 478 on our page.

3. How to find GCD of 268, 608, 52, 478 on a calculator?

You can find the GCD of 268, 608, 52, 478 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.