GCD of 260, 474, 552 Calculator

Given Input numbers are 260, 474, 552

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

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Greatest Common Divisior

We found the divisors of 260, 474, 552 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 474, 552 is 2.

Therefore, GCD of numbers 260, 474, 552 is 2

Given Input Data is 260, 474, 552

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

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

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(260, 474) = 61620

GCD(260, 474) = ( 260 x 474 ) / 61620

GCD(260, 474) = 123240 / 61620

GCD(260, 474) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 552

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

LCM(2, 552) = 552

GCD(2, 552) = ( 2 x 552 ) / 552

GCD(2, 552) = 1104 / 552

GCD(2, 552) = 2

GCD of 260, 474, 552 is 2

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1. What is the GCD of 260, 474, 552?

GCD of 260, 474, 552 is 2

2. Where do I get the detailed procedure to find GCD of 260, 474, 552?

You can find a detailed procedure to find GCD of 260, 474, 552 on our page.

3. How to find GCD of 260, 474, 552 on a calculator?

You can find the GCD of 260, 474, 552 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.