GCD of 441, 957, 720 Calculator

Given Input numbers are 441, 957, 720

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

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Greatest Common Divisior

We found the divisors of 441, 957, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 441, 957, 720 is 3.

Therefore, GCD of numbers 441, 957, 720 is 3

Given Input Data is 441, 957, 720

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

Prime Factorization of 441 is 3 x 3 x 7 x 7

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

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(441, 957) = 140679

GCD(441, 957) = ( 441 x 957 ) / 140679

GCD(441, 957) = 422037 / 140679

GCD(441, 957) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 720

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

LCM(3, 720) = 720

GCD(3, 720) = ( 3 x 720 ) / 720

GCD(3, 720) = 2160 / 720

GCD(3, 720) = 3

GCD of 441, 957, 720 is 3

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1. What is the GCD of 441, 957, 720?

GCD of 441, 957, 720 is 3

2. Where do I get the detailed procedure to find GCD of 441, 957, 720?

You can find a detailed procedure to find GCD of 441, 957, 720 on our page.

3. How to find GCD of 441, 957, 720 on a calculator?

You can find the GCD of 441, 957, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.