Greatest Common Factor of 6923/997, 4014/4741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6923/997, 4014/4741

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 6923/997,4014/4741

Given fractions are 6923/997,4014/4741

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 6923,4014

Greatest Common Factor of Numerators i.e. GCF of 6923,4014 is 1 .

LCM of Denominators means LCM of 997,4741 as per the given fractions.

LCM of 997,4741 is 4726777 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6923,4014

GCF of Fractions 6923/997,4014/4741 is 1/4726777

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

Greatest Common Factor of 6923,4014 By Matching Biggest Common Factor Method

Greatest Common Factor of 6923,4014 By Matching Biggest Common Factor Method

Factors of 6923

List of positive integer factors of 6923 that divides 6923 without a remainder.

1,7,23,43,161,301,989,6923

Factors of 4014

List of positive integer factors of 4014 that divides 4014 without a remainder.

1,2,3,6,9,18,223,446,669,1338,2007,4014

Greatest Common Factor

We found the factors 6923,4014 . The biggest common factor number is the GCF number.
So the greatest common factor 6923,4014 is 1.

Lets's calculate LCM of 997,4741

Given numbers has no common factors except 1. So, there LCM is their product i.e 4726777

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4726777

Therefore, the GCF of Fractions 6923/997,4014/4741 is 1/4726777

Least Common Multiple of 997,4741 with GCF Formula

Least Common Multiple of 997,4741 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 997,4741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(997,4741) = 1

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

GCF(997,4741) x common factors =1 x 1 = 1

LCM(997,4741) = ( 997 × 4741 ) / 1

LCM(997,4741) = 4726777 / 1

LCM(997,4741) = 4726777


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 6923/997, 4014/4741

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 6923/997, 4014/4741?

Answer: GCF of Numerators as per given numbers 6923/997, 4014/4741 is

GCF of Numerators i.e. for 6923,4014 is 1

LCM of denominators i.e. for 997,4741 is 4726777.

Thus, GCF of Fractions is 1/4726777.Finally, GCF of Fractions for 6923/997, 4014/4741 is 1/4726777.