GCD of 351, 950, 71, 966 Calculator

Given Input numbers are 351, 950, 71, 966

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

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

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

Greatest Common Divisior

We found the divisors of 351, 950, 71, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 351, 950, 71, 966 is 1.

Therefore, GCD of numbers 351, 950, 71, 966 is 1

Given Input Data is 351, 950, 71, 966

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

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 950 is 2 x 5 x 5 x 19

Prime Factorization of 71 is 71

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

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(351, 950) = 333450

GCD(351, 950) = ( 351 x 950 ) / 333450

GCD(351, 950) = 333450 / 333450

GCD(351, 950) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 966

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

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

GCD(1, 966) = 966 / 966

GCD(1, 966) = 1

GCD of 351, 950, 71, 966 is 1

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• GCD of 397, 409, 88, 803
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1. What is the GCD of 351, 950, 71, 966?

GCD of 351, 950, 71, 966 is 1

2. Where do I get the detailed procedure to find GCD of 351, 950, 71, 966?

You can find a detailed procedure to find GCD of 351, 950, 71, 966 on our page.

3. How to find GCD of 351, 950, 71, 966 on a calculator?

You can find the GCD of 351, 950, 71, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.