GCD of 111, 894, 14, 949 Calculator

Given Input numbers are 111, 894, 14, 949

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

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Greatest Common Divisior

We found the divisors of 111, 894, 14, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 111, 894, 14, 949 is 1.

Therefore, GCD of numbers 111, 894, 14, 949 is 1

Given Input Data is 111, 894, 14, 949

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

Prime Factorization of 111 is 3 x 37

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 14 is 2 x 7

Prime Factorization of 949 is 13 x 73

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(111, 894) = 33078

GCD(111, 894) = ( 111 x 894 ) / 33078

GCD(111, 894) = 99234 / 33078

GCD(111, 894) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 14

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

LCM(3, 14) = 42

GCD(3, 14) = ( 3 x 14 ) / 42

GCD(3, 14) = 42 / 42

GCD(3, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 949

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

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

GCD(1, 949) = 949 / 949

GCD(1, 949) = 1

GCD of 111, 894, 14, 949 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 643, 763, 58, 110
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• GCD of 965, 194, 52, 421
• GCD of 806, 923, 50, 937

1. What is the GCD of 111, 894, 14, 949?

GCD of 111, 894, 14, 949 is 1

2. Where do I get the detailed procedure to find GCD of 111, 894, 14, 949?

You can find a detailed procedure to find GCD of 111, 894, 14, 949 on our page.

3. How to find GCD of 111, 894, 14, 949 on a calculator?

You can find the GCD of 111, 894, 14, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.