GCD of 153, 966, 720 Calculator

Given Input numbers are 153, 966, 720

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

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

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 153, 966, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 966, 720 is 3.

Therefore, GCD of numbers 153, 966, 720 is 3

Given Input Data is 153, 966, 720

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

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 966 is 2 x 3 x 7 x 23

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(153, 966) = 49266

GCD(153, 966) = ( 153 x 966 ) / 49266

GCD(153, 966) = 147798 / 49266

GCD(153, 966) = 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 153, 966, 720 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 465, 141, 953
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• GCD of 110, 385, 739
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1. What is the GCD of 153, 966, 720?

GCD of 153, 966, 720 is 3

2. Where do I get the detailed procedure to find GCD of 153, 966, 720?

You can find a detailed procedure to find GCD of 153, 966, 720 on our page.

3. How to find GCD of 153, 966, 720 on a calculator?

You can find the GCD of 153, 966, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.