GCD of 946, 288, 47, 965 Calculator

Given Input numbers are 946, 288, 47, 965

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

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Greatest Common Divisior

We found the divisors of 946, 288, 47, 965 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 288, 47, 965 is 1.

Therefore, GCD of numbers 946, 288, 47, 965 is 1

Given Input Data is 946, 288, 47, 965

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

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 47 is 47

Prime Factorization of 965 is 5 x 193

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(946, 288) = 136224

GCD(946, 288) = ( 946 x 288 ) / 136224

GCD(946, 288) = 272448 / 136224

GCD(946, 288) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 47

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

LCM(2, 47) = 94

GCD(2, 47) = ( 2 x 47 ) / 94

GCD(2, 47) = 94 / 94

GCD(2, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 965

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

LCM(1, 965) = 965

GCD(1, 965) = ( 1 x 965 ) / 965

GCD(1, 965) = 965 / 965

GCD(1, 965) = 1

GCD of 946, 288, 47, 965 is 1

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1. What is the GCD of 946, 288, 47, 965?

GCD of 946, 288, 47, 965 is 1

2. Where do I get the detailed procedure to find GCD of 946, 288, 47, 965?

You can find a detailed procedure to find GCD of 946, 288, 47, 965 on our page.

3. How to find GCD of 946, 288, 47, 965 on a calculator?

You can find the GCD of 946, 288, 47, 965 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.