Greatest Common Factor of 7447/274, 4923/7333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7447/274, 4923/7333

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 7447/274,4923/7333

Given fractions are 7447/274,4923/7333

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 7447,4923

Greatest Common Factor of Numerators i.e. GCF of 7447,4923 is 1 .

LCM of Denominators means LCM of 274,7333 as per the given fractions.

LCM of 274,7333 is 2009242 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7447,4923

GCF of Fractions 7447/274,4923/7333 is 1/2009242

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

Greatest Common Factor of 7447,4923 By Matching Biggest Common Factor Method

Greatest Common Factor of 7447,4923 By Matching Biggest Common Factor Method

Factors of 7447

List of positive integer factors of 7447 that divides 7447 without a remainder.

1,11,677,7447

Factors of 4923

List of positive integer factors of 4923 that divides 4923 without a remainder.

1,3,9,547,1641,4923

Greatest Common Factor

We found the factors 7447,4923 . The biggest common factor number is the GCF number.
So the greatest common factor 7447,4923 is 1.

Lets's calculate LCM of 274,7333

Given numbers has no common factors except 1. So, there LCM is their product i.e 2009242

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2009242

Therefore, the GCF of Fractions 7447/274,4923/7333 is 1/2009242

Least Common Multiple of 274,7333 with GCF Formula

Least Common Multiple of 274,7333 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 274,7333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,7333) = 1

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

GCF(274,7333) x common factors =1 x 1 = 1

LCM(274,7333) = ( 274 × 7333 ) / 1

LCM(274,7333) = 2009242 / 1

LCM(274,7333) = 2009242


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 7447/274, 4923/7333

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 7447/274, 4923/7333?

Answer: GCF of Numerators as per given numbers 7447/274, 4923/7333 is

GCF of Numerators i.e. for 7447,4923 is 1

LCM of denominators i.e. for 274,7333 is 2009242.

Thus, GCF of Fractions is 1/2009242.Finally, GCF of Fractions for 7447/274, 4923/7333 is 1/2009242.