GCD of 997, 927, 14, 945 Calculator

Given Input numbers are 997, 927, 14, 945

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

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Divisors of 927

List of positive integer divisors of 927 that divides 927 without a remainder.

1, 3, 9, 103, 309, 927

Divisors of 14

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

1, 2, 7, 14

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Greatest Common Divisior

We found the divisors of 997, 927, 14, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 997, 927, 14, 945 is 1.

Therefore, GCD of numbers 997, 927, 14, 945 is 1

Given Input Data is 997, 927, 14, 945

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

Prime Factorization of 997 is 997

Prime Factorization of 927 is 3 x 3 x 103

Prime Factorization of 14 is 2 x 7

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

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(997, 927) = 924219

GCD(997, 927) = ( 997 x 927 ) / 924219

GCD(997, 927) = 924219 / 924219

GCD(997, 927) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 945

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

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

GCD(1, 945) = 945 / 945

GCD(1, 945) = 1

GCD of 997, 927, 14, 945 is 1

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1. What is the GCD of 997, 927, 14, 945?

GCD of 997, 927, 14, 945 is 1

2. Where do I get the detailed procedure to find GCD of 997, 927, 14, 945?

You can find a detailed procedure to find GCD of 997, 927, 14, 945 on our page.

3. How to find GCD of 997, 927, 14, 945 on a calculator?

You can find the GCD of 997, 927, 14, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.