How to Find GCF of 2099/846, 4137/3868?

GCF of 2099/846, 4137/3868

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 2099/846, 4137/3868 i.e 1/1636164 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2099/846, 4137/3868.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 2099/846,4137/3868?

Given fractions are 2099/846,4137/3868

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 2099/846,4137/3868, numerators are 2099,4137

Denominators are 846,3868

The GCF of 2099,4137 is 1 .

LCM of 846,3868 is 1636164.

The greatest common factor of 2099/846,4137/3868 = [GCF of 2099,4137]/[LCM of 846,3868]= 1/1636164

Therefore, the GCF of 2099/846,4137/3868 is 1/1636164.

Greatest Common Factor of 2099,4137

To find the highest common factor of 2099,4137, we have to find the factors of both numbers and list the highest common factor.

The factors of 2099 are 1, 2099

The factors of 4137 are 1, 3, 7, 21, 197, 591, 1379, 4137

The HCF of 2099,4137 is 1.

Lets's calculate GCF of 2099,4137

Greatest Common Factor (GCF) of 2099,4137 By Common Division

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

Greatest Common Factor of 2099,4137 By Matching Biggest Common Factor Method

Now, list down the factors of 2099

1,2099

Now, list down the factors of 4137

1,3,7,21,197,591,1379,4137

Greatest Common Factor

We found the factors 2099,4137 . The biggest common factor number is the GCF number.
So the greatest common factor 2099,4137 is 1.

Lets's calculate LCM of 846,3868

Lowest Common Multiple of 846,3868 using Common Division

2	846, 3868
	423, 1934

∴ So the LCM of the given numbers is 2 x 423 x 1934 = 1636164

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1636164

Therefore, the GCF of Fractions 2099/846,4137/3868 is 1/1636164

Least Common Multiple of 846,3868 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 846,3868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(846,3868) = 2

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

GCF(846,3868) x common factors =2 x 1 = 2

LCM(846,3868) = ( 846 × 3868 ) / 2

LCM(846,3868) = 3272328 / 2

LCM(846,3868) = 1636164

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FAQs on GCF of Fractions of 2099/846, 4137/3868

1. What is the HCF of 2099,4137?

The HCF of 2099,4137 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 2099/846, 4137/3868?

Answer: GCF of Numerators as per given numbers 2099/846, 4137/3868 is

GCF of Numerators i.e. for 2099,4137 is 1

LCM of denominators i.e. for 846,3868 is 1636164.

Thus, GCF of Fractions is 1/1636164.Finally, GCF of Fractions for 2099/846, 4137/3868 is 1/1636164.