GCD of 966, 423, 760 Calculator

Given Input numbers are 966, 423, 760

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 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Greatest Common Divisior

We found the divisors of 966, 423, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 423, 760 is 1.

Therefore, GCD of numbers 966, 423, 760 is 1

Given Input Data is 966, 423, 760

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 423 is 3 x 3 x 47

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

The above numbers do not have any common prime factor. So GCD is 1

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, 423) = 136206

GCD(966, 423) = ( 966 x 423 ) / 136206

GCD(966, 423) = 408618 / 136206

GCD(966, 423) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 760

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

LCM(3, 760) = 2280

GCD(3, 760) = ( 3 x 760 ) / 2280

GCD(3, 760) = 2280 / 2280

GCD(3, 760) = 1

GCD of 966, 423, 760 is 1

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1. What is the GCD of 966, 423, 760?

GCD of 966, 423, 760 is 1

2. Where do I get the detailed procedure to find GCD of 966, 423, 760?

You can find a detailed procedure to find GCD of 966, 423, 760 on our page.

3. How to find GCD of 966, 423, 760 on a calculator?

You can find the GCD of 966, 423, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.