How to Find GCF of 4498/111, 9214/118?

GCF of 4498/111, 9214/118

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 4498/111, 9214/118 i.e 2/13098 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4498/111, 9214/118.

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 4498/111,9214/118?

Given fractions are 4498/111,9214/118

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 4498/111,9214/118, numerators are 4498,9214

Denominators are 111,118

The GCF of 4498,9214 is 2 .

LCM of 111,118 is 13098.

The greatest common factor of 4498/111,9214/118 = [GCF of 4498,9214]/[LCM of 111,118]= 2/13098

Therefore, the GCF of 4498/111,9214/118 is 2/13098.

Greatest Common Factor of 4498,9214

To find the highest common factor of 4498,9214, we have to find the factors of both numbers and list the highest common factor.

The factors of 4498 are 1, 2, 13, 26, 173, 346, 2249, 4498

The factors of 9214 are 1, 2, 17, 34, 271, 542, 4607, 9214

The HCF of 4498,9214 is 2.

Lets's calculate GCF of 4498,9214

Greatest Common Factor (GCF) of 4498,9214 By Common Division

2	4498, 9214
	2249, 4607

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4498,9214 By Matching Biggest Common Factor Method

Now, list down the factors of 4498

1,2,13,26,173,346,2249,4498

Now, list down the factors of 9214

1,2,17,34,271,542,4607,9214

Greatest Common Factor

We found the factors 4498,9214 . The biggest common factor number is the GCF number.
So the greatest common factor 4498,9214 is 2.

Lets's calculate LCM of 111,118

Lowest Common Multiple of 111,118 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 13098

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13098

Therefore, the GCF of Fractions 4498/111,9214/118 is 2/13098

Least Common Multiple of 111,118 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 111,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(111,118) = 1

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

GCF(111,118) x common factors =1 x 1 = 1

LCM(111,118) = ( 111 × 118 ) / 1

LCM(111,118) = 13098 / 1

LCM(111,118) = 13098

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FAQs on GCF of Fractions of 4498/111, 9214/118

1. What is the HCF of 4498,9214?

The HCF of 4498,9214 is 2

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 4498/111, 9214/118?

Answer: GCF of Numerators as per given numbers 4498/111, 9214/118 is

GCF of Numerators i.e. for 4498,9214 is 2

LCM of denominators i.e. for 111,118 is 13098.

Thus, GCF of Fractions is 2/13098.Finally, GCF of Fractions for 4498/111, 9214/118 is 2/13098.