Greatest Common Factor of 4541/542, 2414/308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4541/542, 2414/308

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 4541/542,2414/308

Given fractions are 4541/542,2414/308

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 4541,2414

Greatest Common Factor of Numerators i.e. GCF of 4541,2414 is 1 .

LCM of Denominators means LCM of 542,308 as per the given fractions.

LCM of 542,308 is 83468 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4541,2414

GCF of Fractions 4541/542,2414/308 is 1/83468

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

Greatest Common Factor of 4541,2414 By Matching Biggest Common Factor Method

Greatest Common Factor of 4541,2414 By Matching Biggest Common Factor Method

Factors of 4541

List of positive integer factors of 4541 that divides 4541 without a remainder.

1,19,239,4541

Factors of 2414

List of positive integer factors of 2414 that divides 2414 without a remainder.

1,2,17,34,71,142,1207,2414

Greatest Common Factor

We found the factors 4541,2414 . The biggest common factor number is the GCF number.
So the greatest common factor 4541,2414 is 1.

Lets's calculate LCM of 542,308

2 542, 308
271, 154

∴ So the LCM of the given numbers is 2 x 271 x 154 = 83468

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83468

Therefore, the GCF of Fractions 4541/542,2414/308 is 1/83468

Least Common Multiple of 542,308 with GCF Formula

Least Common Multiple of 542,308 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 542,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,308) = 2

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

GCF(542,308) x common factors =2 x 1 = 2

LCM(542,308) = ( 542 × 308 ) / 2

LCM(542,308) = 166936 / 2

LCM(542,308) = 83468


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 4541/542, 2414/308

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 4541/542, 2414/308?

Answer: GCF of Numerators as per given numbers 4541/542, 2414/308 is

GCF of Numerators i.e. for 4541,2414 is 1

LCM of denominators i.e. for 542,308 is 83468.

Thus, GCF of Fractions is 1/83468.Finally, GCF of Fractions for 4541/542, 2414/308 is 1/83468.