How to Find GCF of 4191/49, 2159/873?

GCF of 4191/49, 2159/873

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 4191/49, 2159/873 i.e 127/42777 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4191/49, 2159/873.

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 4191/49,2159/873?

Given fractions are 4191/49,2159/873

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 4191/49,2159/873, numerators are 4191,2159

Denominators are 49,873

The GCF of 4191,2159 is 127 .

LCM of 49,873 is 42777.

The greatest common factor of 4191/49,2159/873 = [GCF of 4191,2159]/[LCM of 49,873]= 127/42777

Therefore, the GCF of 4191/49,2159/873 is 127/42777.

Greatest Common Factor of 4191,2159

To find the highest common factor of 4191,2159, we have to find the factors of both numbers and list the highest common factor.

The factors of 4191 are 1, 3, 11, 33, 127, 381, 1397, 4191

The factors of 2159 are 1, 17, 127, 2159

The HCF of 4191,2159 is 127.

Lets's calculate GCF of 4191,2159

Greatest Common Factor (GCF) of 4191,2159 By Common Division

127	4191, 2159
	33, 17

∴ So the GCF of the given numbers is 127 = 127

Greatest Common Factor of 4191,2159 By Matching Biggest Common Factor Method

Now, list down the factors of 4191

1,3,11,33,127,381,1397,4191

Now, list down the factors of 2159

1,17,127,2159

Greatest Common Factor

We found the factors 4191,2159 . The biggest common factor number is the GCF number.
So the greatest common factor 4191,2159 is 127.

Lets's calculate LCM of 49,873

Lowest Common Multiple of 49,873 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 42777

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 127/42777

Therefore, the GCF of Fractions 4191/49,2159/873 is 127/42777

Least Common Multiple of 49,873 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 49,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,873) = 1

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

GCF(49,873) x common factors =1 x 1 = 1

LCM(49,873) = ( 49 × 873 ) / 1

LCM(49,873) = 42777 / 1

LCM(49,873) = 42777

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FAQs on GCF of Fractions of 4191/49, 2159/873

1. What is the HCF of 4191,2159?

The HCF of 4191,2159 is 127

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 4191/49, 2159/873?

Answer: GCF of Numerators as per given numbers 4191/49, 2159/873 is

GCF of Numerators i.e. for 4191,2159 is 127

LCM of denominators i.e. for 49,873 is 42777.

Thus, GCF of Fractions is 127/42777.Finally, GCF of Fractions for 4191/49, 2159/873 is 127/42777.