Greatest Common Factor of 983/27, 6245/497

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 983/27, 6245/497

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 983/27,6245/497

Given fractions are 983/27,6245/497

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 983,6245

Greatest Common Factor of Numerators i.e. GCF of 983,6245 is 1 .

LCM of Denominators means LCM of 27,497 as per the given fractions.

LCM of 27,497 is 13419 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 983,6245

GCF of Fractions 983/27,6245/497 is 1/13419

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 983,6245 By Matching Biggest Common Factor Method

Greatest Common Factor of 983,6245 By Matching Biggest Common Factor Method

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Factors of 6245

List of positive integer factors of 6245 that divides 6245 without a remainder.

1,5,1249,6245

Greatest Common Factor

We found the factors 983,6245 . The biggest common factor number is the GCF number.
So the greatest common factor 983,6245 is 1.

Lets's calculate LCM of 27,497

Given numbers has no common factors except 1. So, there LCM is their product i.e 13419

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13419

Therefore, the GCF of Fractions 983/27,6245/497 is 1/13419

Least Common Multiple of 27,497 with GCF Formula

Least Common Multiple of 27,497 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 27,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,497) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(27,497) x common factors =1 x 1 = 1

LCM(27,497) = ( 27 × 497 ) / 1

LCM(27,497) = 13419 / 1

LCM(27,497) = 13419


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 983/27, 6245/497

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 983/27, 6245/497?

Answer: GCF of Numerators as per given numbers 983/27, 6245/497 is

GCF of Numerators i.e. for 983,6245 is 1

LCM of denominators i.e. for 27,497 is 13419.

Thus, GCF of Fractions is 1/13419.Finally, GCF of Fractions for 983/27, 6245/497 is 1/13419.