GCD of 952, 970, 115, 966 Calculator

Given Input numbers are 952, 970, 115, 966

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

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 970

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

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

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

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 952, 970, 115, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 952, 970, 115, 966 is 1.

Therefore, GCD of numbers 952, 970, 115, 966 is 1

Given Input Data is 952, 970, 115, 966

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

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 115 is 5 x 23

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(952, 970) = 461720

GCD(952, 970) = ( 952 x 970 ) / 461720

GCD(952, 970) = 923440 / 461720

GCD(952, 970) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 115

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

LCM(2, 115) = 230

GCD(2, 115) = ( 2 x 115 ) / 230

GCD(2, 115) = 230 / 230

GCD(2, 115) = 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 952, 970, 115, 966 is 1

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1. What is the GCD of 952, 970, 115, 966?

GCD of 952, 970, 115, 966 is 1

2. Where do I get the detailed procedure to find GCD of 952, 970, 115, 966?

You can find a detailed procedure to find GCD of 952, 970, 115, 966 on our page.

3. How to find GCD of 952, 970, 115, 966 on a calculator?

You can find the GCD of 952, 970, 115, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.