GCD of 966, 800, 46, 970 Calculator

Given Input numbers are 966, 800, 46, 970

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 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Greatest Common Divisior

We found the divisors of 966, 800, 46, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 800, 46, 970 is 2.

Therefore, GCD of numbers 966, 800, 46, 970 is 2

Given Input Data is 966, 800, 46, 970

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 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 46 is 2 x 23

Prime Factorization of 970 is 2 x 5 x 97

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 800) = 386400

GCD(966, 800) = ( 966 x 800 ) / 386400

GCD(966, 800) = 772800 / 386400

GCD(966, 800) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 46

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

LCM(2, 46) = 46

GCD(2, 46) = ( 2 x 46 ) / 46

GCD(2, 46) = 92 / 46

GCD(2, 46) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 970

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

LCM(2, 970) = 970

GCD(2, 970) = ( 2 x 970 ) / 970

GCD(2, 970) = 1940 / 970

GCD(2, 970) = 2

GCD of 966, 800, 46, 970 is 2

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1. What is the GCD of 966, 800, 46, 970?

GCD of 966, 800, 46, 970 is 2

2. Where do I get the detailed procedure to find GCD of 966, 800, 46, 970?

You can find a detailed procedure to find GCD of 966, 800, 46, 970 on our page.

3. How to find GCD of 966, 800, 46, 970 on a calculator?

You can find the GCD of 966, 800, 46, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.