GCD of 264, 159, 324, 705 Calculator

Given Input numbers are 264, 159, 324, 705

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

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

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

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Greatest Common Divisior

We found the divisors of 264, 159, 324, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 159, 324, 705 is 3.

Therefore, GCD of numbers 264, 159, 324, 705 is 3

Given Input Data is 264, 159, 324, 705

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

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 159 is 3 x 53

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 705 is 3 x 5 x 47

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(264, 159) = 13992

GCD(264, 159) = ( 264 x 159 ) / 13992

GCD(264, 159) = 41976 / 13992

GCD(264, 159) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 324

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

LCM(3, 324) = 324

GCD(3, 324) = ( 3 x 324 ) / 324

GCD(3, 324) = 972 / 324

GCD(3, 324) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 705

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

LCM(3, 705) = 705

GCD(3, 705) = ( 3 x 705 ) / 705

GCD(3, 705) = 2115 / 705

GCD(3, 705) = 3

GCD of 264, 159, 324, 705 is 3

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1. What is the GCD of 264, 159, 324, 705?

GCD of 264, 159, 324, 705 is 3

2. Where do I get the detailed procedure to find GCD of 264, 159, 324, 705?

You can find a detailed procedure to find GCD of 264, 159, 324, 705 on our page.

3. How to find GCD of 264, 159, 324, 705 on a calculator?

You can find the GCD of 264, 159, 324, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.