Greatest Common Factor of 7468/584, 6941/798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7468/584, 6941/798

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 7468/584,6941/798

Given fractions are 7468/584,6941/798

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 7468,6941

Greatest Common Factor of Numerators i.e. GCF of 7468,6941 is 1 .

LCM of Denominators means LCM of 584,798 as per the given fractions.

LCM of 584,798 is 233016 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7468,6941

GCF of Fractions 7468/584,6941/798 is 1/233016

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

Greatest Common Factor of 7468,6941 By Matching Biggest Common Factor Method

Greatest Common Factor of 7468,6941 By Matching Biggest Common Factor Method

Factors of 7468

List of positive integer factors of 7468 that divides 7468 without a remainder.

1,2,4,1867,3734,7468

Factors of 6941

List of positive integer factors of 6941 that divides 6941 without a remainder.

1,11,631,6941

Greatest Common Factor

We found the factors 7468,6941 . The biggest common factor number is the GCF number.
So the greatest common factor 7468,6941 is 1.

Lets's calculate LCM of 584,798

2 584, 798
292, 399

∴ So the LCM of the given numbers is 2 x 292 x 399 = 233016

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/233016

Therefore, the GCF of Fractions 7468/584,6941/798 is 1/233016

Least Common Multiple of 584,798 with GCF Formula

Least Common Multiple of 584,798 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 584,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,798) = 2

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

GCF(584,798) x common factors =2 x 1 = 2

LCM(584,798) = ( 584 × 798 ) / 2

LCM(584,798) = 466032 / 2

LCM(584,798) = 233016


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 7468/584, 6941/798

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 7468/584, 6941/798?

Answer: GCF of Numerators as per given numbers 7468/584, 6941/798 is

GCF of Numerators i.e. for 7468,6941 is 1

LCM of denominators i.e. for 584,798 is 233016.

Thus, GCF of Fractions is 1/233016.Finally, GCF of Fractions for 7468/584, 6941/798 is 1/233016.