Greatest Common Factor of 3851/994, 4198/5522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3851/994, 4198/5522

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 3851/994,4198/5522

Given fractions are 3851/994,4198/5522

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 3851,4198

Greatest Common Factor of Numerators i.e. GCF of 3851,4198 is 1 .

LCM of Denominators means LCM of 994,5522 as per the given fractions.

LCM of 994,5522 is 2744434 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3851,4198

GCF of Fractions 3851/994,4198/5522 is 1/2744434

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

Greatest Common Factor of 3851,4198 By Matching Biggest Common Factor Method

Greatest Common Factor of 3851,4198 By Matching Biggest Common Factor Method

Factors of 3851

List of positive integer factors of 3851 that divides 3851 without a remainder.

1,3851

Factors of 4198

List of positive integer factors of 4198 that divides 4198 without a remainder.

1,2,2099,4198

Greatest Common Factor

We found the factors 3851,4198 . The biggest common factor number is the GCF number.
So the greatest common factor 3851,4198 is 1.

Lets's calculate LCM of 994,5522

2 994, 5522
497, 2761

∴ So the LCM of the given numbers is 2 x 497 x 2761 = 2744434

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2744434

Therefore, the GCF of Fractions 3851/994,4198/5522 is 1/2744434

Least Common Multiple of 994,5522 with GCF Formula

Least Common Multiple of 994,5522 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 994,5522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(994,5522) = 2

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

GCF(994,5522) x common factors =2 x 1 = 2

LCM(994,5522) = ( 994 × 5522 ) / 2

LCM(994,5522) = 5488868 / 2

LCM(994,5522) = 2744434


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 3851/994, 4198/5522

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 3851/994, 4198/5522?

Answer: GCF of Numerators as per given numbers 3851/994, 4198/5522 is

GCF of Numerators i.e. for 3851,4198 is 1

LCM of denominators i.e. for 994,5522 is 2744434.

Thus, GCF of Fractions is 1/2744434.Finally, GCF of Fractions for 3851/994, 4198/5522 is 1/2744434.