GCD of 110, 954, 943, 966 Calculator

Given Input numbers are 110, 954, 943, 966

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

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 943

List of positive integer divisors of 943 that divides 943 without a remainder.

1, 23, 41, 943

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 110, 954, 943, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 110, 954, 943, 966 is 1.

Therefore, GCD of numbers 110, 954, 943, 966 is 1

Given Input Data is 110, 954, 943, 966

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

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 943 is 23 x 41

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(110, 954) = 52470

GCD(110, 954) = ( 110 x 954 ) / 52470

GCD(110, 954) = 104940 / 52470

GCD(110, 954) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 943

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

LCM(2, 943) = 1886

GCD(2, 943) = ( 2 x 943 ) / 1886

GCD(2, 943) = 1886 / 1886

GCD(2, 943) = 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 110, 954, 943, 966 is 1

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• GCD of 847, 476, 230, 388
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1. What is the GCD of 110, 954, 943, 966?

GCD of 110, 954, 943, 966 is 1

2. Where do I get the detailed procedure to find GCD of 110, 954, 943, 966?

You can find a detailed procedure to find GCD of 110, 954, 943, 966 on our page.

3. How to find GCD of 110, 954, 943, 966 on a calculator?

You can find the GCD of 110, 954, 943, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.