How to Find GCF of 99/258, 14/500, 757/853?

GCF of 99/258, 14/500, 757/853

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 99/258, 14/500, 757/853 i.e 1/55018500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 99/258, 14/500, 757/853.

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 99/258,14/500,757/853?

Given fractions are 99/258,14/500,757/853

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 99/258,14/500,757/853, numerators are 99,14,757

Denominators are 258,500,853

The GCF of 99,14,757 is 1 .

LCM of 258,500,853 is 55018500.

The greatest common factor of 99/258,14/500,757/853 = [GCF of 99,14,757]/[LCM of 258,500,853]= 1/55018500

Therefore, the GCF of 99/258,14/500,757/853 is 1/55018500.

Greatest Common Factor of 99,14,757

To find the highest common factor of 99,14,757, we have to find the factors of both numbers and list the highest common factor.

The factors of 99 are 1, 3, 9, 11, 33, 99

The factors of 14 are 1, 2, 7, 14

The factors of 757 are 1, 757

The HCF of 99,14,757 is 1.

Lets's calculate GCF of 99,14,757

Greatest Common Factor (GCF) of 99,14,757 By Common Division

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

Greatest Common Factor of 99,14,757 By Matching Biggest Common Factor Method

Now, list down the factors of 99

1,3,9,11,33,99

Now, list down the factors of 14

1,2,7,14

Now, list down the factors of 757

1,757

Greatest Common Factor

We found the factors 99,14,757 . The biggest common factor number is the GCF number.
So the greatest common factor 99,14,757 is 1.

Lets's calculate LCM of 258,500,853

Lowest Common Multiple of 258,500,853 using Common Division

2	258, 500, 853
	129, 250, 853

∴ So the LCM of the given numbers is 2 x 129 x 250 x 853 = 55018500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55018500

Therefore, the GCF of Fractions 99/258,14/500,757/853 is 1/55018500

Least Common Multiple of 258,500,853 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 258,500,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,500,853) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(258,500,853) x common factors =1 x 2 = 2

LCM(258,500,853) = ( 258 × 500 × 853 ) / 2

LCM(258,500,853) = 110037000 / 2

LCM(258,500,853) = 55018500

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 99/258, 14/500, 757/853

1. What is the HCF of 99,14,757?

The HCF of 99,14,757 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 99/258, 14/500, 757/853?

Answer: GCF of Numerators as per given numbers 99/258, 14/500, 757/853 is

GCF of Numerators i.e. for 99,14,757 is 1

LCM of denominators i.e. for 258,500,853 is 55018500.

Thus, GCF of Fractions is 1/55018500.Finally, GCF of Fractions for 99/258, 14/500, 757/853 is 1/55018500.