How to Find GCF of 6838/567, 4859/1313?

GCF of 6838/567, 4859/1313

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 6838/567, 4859/1313 i.e 1/744471 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6838/567, 4859/1313.

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 6838/567,4859/1313?

Given fractions are 6838/567,4859/1313

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 6838/567,4859/1313, numerators are 6838,4859

Denominators are 567,1313

The GCF of 6838,4859 is 1 .

LCM of 567,1313 is 744471.

The greatest common factor of 6838/567,4859/1313 = [GCF of 6838,4859]/[LCM of 567,1313]= 1/744471

Therefore, the GCF of 6838/567,4859/1313 is 1/744471.

Greatest Common Factor of 6838,4859

To find the highest common factor of 6838,4859, we have to find the factors of both numbers and list the highest common factor.

The factors of 6838 are 1, 2, 13, 26, 263, 526, 3419, 6838

The factors of 4859 are 1, 43, 113, 4859

The HCF of 6838,4859 is 1.

Lets's calculate GCF of 6838,4859

Greatest Common Factor (GCF) of 6838,4859 By Common Division

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

Greatest Common Factor of 6838,4859 By Matching Biggest Common Factor Method

Now, list down the factors of 6838

1,2,13,26,263,526,3419,6838

Now, list down the factors of 4859

1,43,113,4859

Greatest Common Factor

We found the factors 6838,4859 . The biggest common factor number is the GCF number.
So the greatest common factor 6838,4859 is 1.

Lets's calculate LCM of 567,1313

Lowest Common Multiple of 567,1313 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 744471

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/744471

Therefore, the GCF of Fractions 6838/567,4859/1313 is 1/744471

Least Common Multiple of 567,1313 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 567,1313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(567,1313) = 1

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

GCF(567,1313) x common factors =1 x 1 = 1

LCM(567,1313) = ( 567 × 1313 ) / 1

LCM(567,1313) = 744471 / 1

LCM(567,1313) = 744471

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FAQs on GCF of Fractions of 6838/567, 4859/1313

1. What is the HCF of 6838,4859?

The HCF of 6838,4859 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 6838/567, 4859/1313?

Answer: GCF of Numerators as per given numbers 6838/567, 4859/1313 is

GCF of Numerators i.e. for 6838,4859 is 1

LCM of denominators i.e. for 567,1313 is 744471.

Thus, GCF of Fractions is 1/744471.Finally, GCF of Fractions for 6838/567, 4859/1313 is 1/744471.