GCD of 14, 975, 931, 990 Calculator

Given Input numbers are 14, 975, 931, 990

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

Divisors of 14

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

1, 2, 7, 14

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Greatest Common Divisior

We found the divisors of 14, 975, 931, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 975, 931, 990 is 1.

Therefore, GCD of numbers 14, 975, 931, 990 is 1

Given Input Data is 14, 975, 931, 990

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 931 is 7 x 7 x 19

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

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(14, 975) = 13650

GCD(14, 975) = ( 14 x 975 ) / 13650

GCD(14, 975) = 13650 / 13650

GCD(14, 975) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 931

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

LCM(1, 931) = 931

GCD(1, 931) = ( 1 x 931 ) / 931

GCD(1, 931) = 931 / 931

GCD(1, 931) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 990

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

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

GCD(1, 990) = 990 / 990

GCD(1, 990) = 1

GCD of 14, 975, 931, 990 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 15, 228, 655, 654
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• GCD of 73, 785, 489, 515

1. What is the GCD of 14, 975, 931, 990?

GCD of 14, 975, 931, 990 is 1

2. Where do I get the detailed procedure to find GCD of 14, 975, 931, 990?

You can find a detailed procedure to find GCD of 14, 975, 931, 990 on our page.

3. How to find GCD of 14, 975, 931, 990 on a calculator?

You can find the GCD of 14, 975, 931, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.