How to Find GCF of 6843/567, 7109/6743?

GCF of 6843/567, 7109/6743

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 6843/567, 7109/6743 i.e 1/3823281 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6843/567, 7109/6743.

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 6843/567,7109/6743?

Given fractions are 6843/567,7109/6743

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 6843/567,7109/6743, numerators are 6843,7109

Denominators are 567,6743

The GCF of 6843,7109 is 1 .

LCM of 567,6743 is 3823281.

The greatest common factor of 6843/567,7109/6743 = [GCF of 6843,7109]/[LCM of 567,6743]= 1/3823281

Therefore, the GCF of 6843/567,7109/6743 is 1/3823281.

Greatest Common Factor of 6843,7109

To find the highest common factor of 6843,7109, we have to find the factors of both numbers and list the highest common factor.

The factors of 6843 are 1, 3, 2281, 6843

The factors of 7109 are 1, 7109

The HCF of 6843,7109 is 1.

Lets's calculate GCF of 6843,7109

Greatest Common Factor (GCF) of 6843,7109 By Common Division

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

Greatest Common Factor of 6843,7109 By Matching Biggest Common Factor Method

Now, list down the factors of 6843

1,3,2281,6843

Now, list down the factors of 7109

1,7109

Greatest Common Factor

We found the factors 6843,7109 . The biggest common factor number is the GCF number.
So the greatest common factor 6843,7109 is 1.

Lets's calculate LCM of 567,6743

Lowest Common Multiple of 567,6743 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3823281

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3823281

Therefore, the GCF of Fractions 6843/567,7109/6743 is 1/3823281

Least Common Multiple of 567,6743 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 567,6743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(567,6743) = 1

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

GCF(567,6743) x common factors =1 x 1 = 1

LCM(567,6743) = ( 567 × 6743 ) / 1

LCM(567,6743) = 3823281 / 1

LCM(567,6743) = 3823281

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FAQs on GCF of Fractions of 6843/567, 7109/6743

1. What is the HCF of 6843,7109?

The HCF of 6843,7109 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 6843/567, 7109/6743?

Answer: GCF of Numerators as per given numbers 6843/567, 7109/6743 is

GCF of Numerators i.e. for 6843,7109 is 1

LCM of denominators i.e. for 567,6743 is 3823281.

Thus, GCF of Fractions is 1/3823281.Finally, GCF of Fractions for 6843/567, 7109/6743 is 1/3823281.