GCD of 528, 168, 72, 261 Calculator

Given Input numbers are 528, 168, 72, 261

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

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Greatest Common Divisior

We found the divisors of 528, 168, 72, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 168, 72, 261 is 3.

Therefore, GCD of numbers 528, 168, 72, 261 is 3

Given Input Data is 528, 168, 72, 261

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

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 261 is 3 x 3 x 29

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(528, 168) = 3696

GCD(528, 168) = ( 528 x 168 ) / 3696

GCD(528, 168) = 88704 / 3696

GCD(528, 168) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 72

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

LCM(24, 72) = 72

GCD(24, 72) = ( 24 x 72 ) / 72

GCD(24, 72) = 1728 / 72

GCD(24, 72) = 24

Step3:

Here we consider the GCD from the above i.e. 24 as first number and the next as 261

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

LCM(24, 261) = 2088

GCD(24, 261) = ( 24 x 261 ) / 2088

GCD(24, 261) = 6264 / 2088

GCD(24, 261) = 3

GCD of 528, 168, 72, 261 is 3

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1. What is the GCD of 528, 168, 72, 261?

GCD of 528, 168, 72, 261 is 3

2. Where do I get the detailed procedure to find GCD of 528, 168, 72, 261?

You can find a detailed procedure to find GCD of 528, 168, 72, 261 on our page.

3. How to find GCD of 528, 168, 72, 261 on a calculator?

You can find the GCD of 528, 168, 72, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.