How to Find GCF of 9911/272, 2899/7388?

GCF of 9911/272, 2899/7388

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 9911/272, 2899/7388 i.e 1/502384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9911/272, 2899/7388.

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 9911/272,2899/7388?

Given fractions are 9911/272,2899/7388

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 9911/272,2899/7388, numerators are 9911,2899

Denominators are 272,7388

The GCF of 9911,2899 is 1 .

LCM of 272,7388 is 502384.

The greatest common factor of 9911/272,2899/7388 = [GCF of 9911,2899]/[LCM of 272,7388]= 1/502384

Therefore, the GCF of 9911/272,2899/7388 is 1/502384.

Greatest Common Factor of 9911,2899

To find the highest common factor of 9911,2899, we have to find the factors of both numbers and list the highest common factor.

The factors of 9911 are 1, 11, 17, 53, 187, 583, 901, 9911

The factors of 2899 are 1, 13, 223, 2899

The HCF of 9911,2899 is 1.

Lets's calculate GCF of 9911,2899

Greatest Common Factor (GCF) of 9911,2899 By Common Division

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

Greatest Common Factor of 9911,2899 By Matching Biggest Common Factor Method

Now, list down the factors of 9911

1,11,17,53,187,583,901,9911

Now, list down the factors of 2899

1,13,223,2899

Greatest Common Factor

We found the factors 9911,2899 . The biggest common factor number is the GCF number.
So the greatest common factor 9911,2899 is 1.

Lets's calculate LCM of 272,7388

Lowest Common Multiple of 272,7388 using Common Division

2	272, 7388
2	136, 3694
	68, 1847

∴ So the LCM of the given numbers is 2 x 2 x 68 x 1847 = 502384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/502384

Therefore, the GCF of Fractions 9911/272,2899/7388 is 1/502384

Least Common Multiple of 272,7388 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 272,7388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,7388) = 4

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

GCF(272,7388) x common factors =4 x 1 = 4

LCM(272,7388) = ( 272 × 7388 ) / 4

LCM(272,7388) = 2009536 / 4

LCM(272,7388) = 502384

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9911/272, 2899/7388

1. What is the HCF of 9911,2899?

The HCF of 9911,2899 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 9911/272, 2899/7388?

Answer: GCF of Numerators as per given numbers 9911/272, 2899/7388 is

GCF of Numerators i.e. for 9911,2899 is 1

LCM of denominators i.e. for 272,7388 is 502384.

Thus, GCF of Fractions is 1/502384.Finally, GCF of Fractions for 9911/272, 2899/7388 is 1/502384.