Greatest Common Factor of 7261/794, 3727/4321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7261/794, 3727/4321

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 7261/794,3727/4321

Given fractions are 7261/794,3727/4321

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 7261,3727

Greatest Common Factor of Numerators i.e. GCF of 7261,3727 is 1 .

LCM of Denominators means LCM of 794,4321 as per the given fractions.

LCM of 794,4321 is 3430874 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7261,3727

GCF of Fractions 7261/794,3727/4321 is 1/3430874

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

Greatest Common Factor of 7261,3727 By Matching Biggest Common Factor Method

Greatest Common Factor of 7261,3727 By Matching Biggest Common Factor Method

Factors of 7261

List of positive integer factors of 7261 that divides 7261 without a remainder.

1,53,137,7261

Factors of 3727

List of positive integer factors of 3727 that divides 3727 without a remainder.

1,3727

Greatest Common Factor

We found the factors 7261,3727 . The biggest common factor number is the GCF number.
So the greatest common factor 7261,3727 is 1.

Lets's calculate LCM of 794,4321

Given numbers has no common factors except 1. So, there LCM is their product i.e 3430874

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3430874

Therefore, the GCF of Fractions 7261/794,3727/4321 is 1/3430874

Least Common Multiple of 794,4321 with GCF Formula

Least Common Multiple of 794,4321 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 794,4321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(794,4321) = 1

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

GCF(794,4321) x common factors =1 x 1 = 1

LCM(794,4321) = ( 794 × 4321 ) / 1

LCM(794,4321) = 3430874 / 1

LCM(794,4321) = 3430874


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 7261/794, 3727/4321

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 7261/794, 3727/4321?

Answer: GCF of Numerators as per given numbers 7261/794, 3727/4321 is

GCF of Numerators i.e. for 7261,3727 is 1

LCM of denominators i.e. for 794,4321 is 3430874.

Thus, GCF of Fractions is 1/3430874.Finally, GCF of Fractions for 7261/794, 3727/4321 is 1/3430874.