GCD of 966, 784, 273 Calculator

Given Input numbers are 966, 784, 273

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

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 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Greatest Common Divisior

We found the divisors of 966, 784, 273 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 784, 273 is 7.

Therefore, GCD of numbers 966, 784, 273 is 7

Given Input Data is 966, 784, 273

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

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

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 273 is 3 x 7 x 13

Highest common occurrences in the given inputs are 7¹

Multiplying them we get the GCD as 7

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(966, 784) = 54096

GCD(966, 784) = ( 966 x 784 ) / 54096

GCD(966, 784) = 757344 / 54096

GCD(966, 784) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 273

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

LCM(14, 273) = 546

GCD(14, 273) = ( 14 x 273 ) / 546

GCD(14, 273) = 3822 / 546

GCD(14, 273) = 7

GCD of 966, 784, 273 is 7

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• GCD of 145, 198, 960
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1. What is the GCD of 966, 784, 273?

GCD of 966, 784, 273 is 7

2. Where do I get the detailed procedure to find GCD of 966, 784, 273?

You can find a detailed procedure to find GCD of 966, 784, 273 on our page.

3. How to find GCD of 966, 784, 273 on a calculator?

You can find the GCD of 966, 784, 273 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.