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GCD of 982, 997, 14 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 982, 997, 14 quickly. Get the easiest ways to solve the greatest common divisor of 982, 997, 14 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 982, 997, 14 with Factoring?

Given Input numbers are 982, 997, 14

In the factoring method, we have to find the divisors of all numbers

Divisors of 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

Divisors of 997 :

The positive integer divisors of 997 that completely divides 997 are.

1, 997

Divisors of 14 :

The positive integer divisors of 14 that completely divides 14 are.

1, 2, 7, 14


GCD of numbers is the greatest common divisor

So, the GCD (982, 997, 14) = 1.

Find GCD of 982, 997, 14 using Prime Factorization

Given numbers are 982, 997, 14

The list of prime factors of all numbers are

Prime factors of 982 are 2 x 491

Prime factors of 997 are 997

Prime factors of 14 are 2 x 7

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 982, 997, 14 using LCM Formula

Given numbers are 982, 997, 14

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(982, 997) = 979054

GCD(982, 997) = ( 982 x 997 ) / 979054

= 982 / 997

= 982


Step2:

LCM(1, 14) = 14

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

= 1 / 14

= 1


So, Greatest Common Divisor of 982, 997, 14 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 982, 997, 14

Given numbers are 982, 997, 14
The greatest common divisor of numbers 982, 997, 14 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 982, 997, 14 is 1.

FAQs on GCD of 982, 997, 14 Calculator

1. What is the GCD of 982, 997, 14?

GCD of given numbers 982, 997, 14 is 1


2. How to calculate the greatest common divisor of 982, 997, 14?

We can find the highest common divisor of 982, 997, 14 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 982, 997, 14 i.e 1.


3. How can I use the GCD of 982, 997, 14Calculator?

Out the numbers 982, 997, 14 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.