Greatest Common Factor of 6863/97, 3257/999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6863/97, 3257/999

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 6863/97,3257/999

Given fractions are 6863/97,3257/999

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 6863,3257

Greatest Common Factor of Numerators i.e. GCF of 6863,3257 is 1 .

LCM of Denominators means LCM of 97,999 as per the given fractions.

LCM of 97,999 is 96903 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6863,3257

GCF of Fractions 6863/97,3257/999 is 1/96903

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

Greatest Common Factor of 6863,3257 By Matching Biggest Common Factor Method

Greatest Common Factor of 6863,3257 By Matching Biggest Common Factor Method

Factors of 6863

List of positive integer factors of 6863 that divides 6863 without a remainder.

1,6863

Factors of 3257

List of positive integer factors of 3257 that divides 3257 without a remainder.

1,3257

Greatest Common Factor

We found the factors 6863,3257 . The biggest common factor number is the GCF number.
So the greatest common factor 6863,3257 is 1.

Lets's calculate LCM of 97,999

Given numbers has no common factors except 1. So, there LCM is their product i.e 96903

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/96903

Therefore, the GCF of Fractions 6863/97,3257/999 is 1/96903

Least Common Multiple of 97,999 with GCF Formula

Least Common Multiple of 97,999 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 97,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,999) = 1

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

GCF(97,999) x common factors =1 x 1 = 1

LCM(97,999) = ( 97 × 999 ) / 1

LCM(97,999) = 96903 / 1

LCM(97,999) = 96903


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 6863/97, 3257/999

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 6863/97, 3257/999?

Answer: GCF of Numerators as per given numbers 6863/97, 3257/999 is

GCF of Numerators i.e. for 6863,3257 is 1

LCM of denominators i.e. for 97,999 is 96903.

Thus, GCF of Fractions is 1/96903.Finally, GCF of Fractions for 6863/97, 3257/999 is 1/96903.