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GCD of 994, 987, 249 Calculator

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


Online GCD Calculator is useful to find the GCD of 994, 987, 249 quickly. Get the easiest ways to solve the greatest common divisor of 994, 987, 249 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 994, 987, 249 with Factoring?

Given Input numbers are 994, 987, 249

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

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249


GCD of numbers is the greatest common divisor

So, the GCD (994, 987, 249) = 1.

Find GCD of 994, 987, 249 using Prime Factorization

Given numbers are 994, 987, 249

The list of prime factors of all numbers are

Prime factors of 994 are 2 x 7 x 71

Prime factors of 987 are 3 x 7 x 47

Prime factors of 249 are 3 x 83

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

Steps to Calculate GCD of 994, 987, 249 using LCM Formula

Given numbers are 994, 987, 249

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

Apply this formula for all numbers.

Step1:

LCM(994, 987) = 140154

GCD(994, 987) = ( 994 x 987 ) / 140154

= 994 / 987

= 994


Step2:

LCM(7, 249) = 1743

GCD(7, 249) = ( 7 x 249 ) / 1743

= 7 / 249

= 7


So, Greatest Common Divisor of 994, 987, 249 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 994, 987, 249

Given numbers are 994, 987, 249
The greatest common divisor of numbers 994, 987, 249 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 994, 987, 249 is 1.

FAQs on GCD of 994, 987, 249 Calculator

1. What is the GCD of 994, 987, 249?

GCD of given numbers 994, 987, 249 is 1


2. How to calculate the greatest common divisor of 994, 987, 249?

We can find the highest common divisor of 994, 987, 249 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 994, 987, 249 i.e 1.


3. How can I use the GCD of 994, 987, 249Calculator?

Out the numbers 994, 987, 249 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.