How to Find GCF of 5109/273, 4377/4517?

GCF of 5109/273, 4377/4517

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 5109/273, 4377/4517 i.e 3/1233141 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5109/273, 4377/4517.

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 5109/273,4377/4517?

Given fractions are 5109/273,4377/4517

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 5109/273,4377/4517, numerators are 5109,4377

Denominators are 273,4517

The GCF of 5109,4377 is 3 .

LCM of 273,4517 is 1233141.

The greatest common factor of 5109/273,4377/4517 = [GCF of 5109,4377]/[LCM of 273,4517]= 3/1233141

Therefore, the GCF of 5109/273,4377/4517 is 3/1233141.

Greatest Common Factor of 5109,4377

To find the highest common factor of 5109,4377, we have to find the factors of both numbers and list the highest common factor.

The factors of 5109 are 1, 3, 13, 39, 131, 393, 1703, 5109

The factors of 4377 are 1, 3, 1459, 4377

The HCF of 5109,4377 is 3.

Lets's calculate GCF of 5109,4377

Greatest Common Factor (GCF) of 5109,4377 By Common Division

3	5109, 4377
	1703, 1459

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5109,4377 By Matching Biggest Common Factor Method

Now, list down the factors of 5109

1,3,13,39,131,393,1703,5109

Now, list down the factors of 4377

1,3,1459,4377

Greatest Common Factor

We found the factors 5109,4377 . The biggest common factor number is the GCF number.
So the greatest common factor 5109,4377 is 3.

Lets's calculate LCM of 273,4517

Lowest Common Multiple of 273,4517 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1233141

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1233141

Therefore, the GCF of Fractions 5109/273,4377/4517 is 3/1233141

Least Common Multiple of 273,4517 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 273,4517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(273,4517) = 1

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

GCF(273,4517) x common factors =1 x 1 = 1

LCM(273,4517) = ( 273 × 4517 ) / 1

LCM(273,4517) = 1233141 / 1

LCM(273,4517) = 1233141

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FAQs on GCF of Fractions of 5109/273, 4377/4517

1. What is the HCF of 5109,4377?

The HCF of 5109,4377 is 3

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 5109/273, 4377/4517?

Answer: GCF of Numerators as per given numbers 5109/273, 4377/4517 is

GCF of Numerators i.e. for 5109,4377 is 3

LCM of denominators i.e. for 273,4517 is 1233141.

Thus, GCF of Fractions is 3/1233141.Finally, GCF of Fractions for 5109/273, 4377/4517 is 3/1233141.