How to Find GCF of 6871/348, 5543/1624?

GCF of 6871/348, 5543/1624

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 6871/348, 5543/1624 i.e 1/4872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6871/348, 5543/1624.

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 6871/348,5543/1624?

Given fractions are 6871/348,5543/1624

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 6871/348,5543/1624, numerators are 6871,5543

Denominators are 348,1624

The GCF of 6871,5543 is 1 .

LCM of 348,1624 is 4872.

The greatest common factor of 6871/348,5543/1624 = [GCF of 6871,5543]/[LCM of 348,1624]= 1/4872

Therefore, the GCF of 6871/348,5543/1624 is 1/4872.

Greatest Common Factor of 6871,5543

To find the highest common factor of 6871,5543, we have to find the factors of both numbers and list the highest common factor.

The factors of 6871 are 1, 6871

The factors of 5543 are 1, 23, 241, 5543

The HCF of 6871,5543 is 1.

Lets's calculate GCF of 6871,5543

Greatest Common Factor (GCF) of 6871,5543 By Common Division

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

Greatest Common Factor of 6871,5543 By Matching Biggest Common Factor Method

Now, list down the factors of 6871

1,6871

Now, list down the factors of 5543

1,23,241,5543

Greatest Common Factor

We found the factors 6871,5543 . The biggest common factor number is the GCF number.
So the greatest common factor 6871,5543 is 1.

Lets's calculate LCM of 348,1624

Lowest Common Multiple of 348,1624 using Common Division

2	348, 1624
2	174, 812
29	87, 406
	3, 14

∴ So the LCM of the given numbers is 2 x 2 x 29 x 3 x 14 = 4872

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4872

Therefore, the GCF of Fractions 6871/348,5543/1624 is 1/4872

Least Common Multiple of 348,1624 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 348,1624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(348,1624) = 116

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

GCF(348,1624) x common factors =116 x 1 = 116

LCM(348,1624) = ( 348 × 1624 ) / 116

LCM(348,1624) = 565152 / 116

LCM(348,1624) = 4872

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FAQs on GCF of Fractions of 6871/348, 5543/1624

1. What is the HCF of 6871,5543?

The HCF of 6871,5543 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 6871/348, 5543/1624?

Answer: GCF of Numerators as per given numbers 6871/348, 5543/1624 is

GCF of Numerators i.e. for 6871,5543 is 1

LCM of denominators i.e. for 348,1624 is 4872.

Thus, GCF of Fractions is 1/4872.Finally, GCF of Fractions for 6871/348, 5543/1624 is 1/4872.