How to Find GCF of 6071/425, 2110/929?

GCF of 6071/425, 2110/929

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 6071/425, 2110/929 i.e 1/394825 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6071/425, 2110/929.

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 6071/425,2110/929?

Given fractions are 6071/425,2110/929

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 6071/425,2110/929, numerators are 6071,2110

Denominators are 425,929

The GCF of 6071,2110 is 1 .

LCM of 425,929 is 394825.

The greatest common factor of 6071/425,2110/929 = [GCF of 6071,2110]/[LCM of 425,929]= 1/394825

Therefore, the GCF of 6071/425,2110/929 is 1/394825.

Greatest Common Factor of 6071,2110

To find the highest common factor of 6071,2110, we have to find the factors of both numbers and list the highest common factor.

The factors of 6071 are 1, 13, 467, 6071

The factors of 2110 are 1, 2, 5, 10, 211, 422, 1055, 2110

The HCF of 6071,2110 is 1.

Lets's calculate GCF of 6071,2110

Greatest Common Factor (GCF) of 6071,2110 By Common Division

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

Greatest Common Factor of 6071,2110 By Matching Biggest Common Factor Method

Now, list down the factors of 6071

1,13,467,6071

Now, list down the factors of 2110

1,2,5,10,211,422,1055,2110

Greatest Common Factor

We found the factors 6071,2110 . The biggest common factor number is the GCF number.
So the greatest common factor 6071,2110 is 1.

Lets's calculate LCM of 425,929

Lowest Common Multiple of 425,929 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 394825

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/394825

Therefore, the GCF of Fractions 6071/425,2110/929 is 1/394825

Least Common Multiple of 425,929 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 425,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(425,929) = 1

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

GCF(425,929) x common factors =1 x 1 = 1

LCM(425,929) = ( 425 × 929 ) / 1

LCM(425,929) = 394825 / 1

LCM(425,929) = 394825

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FAQs on GCF of Fractions of 6071/425, 2110/929

1. What is the HCF of 6071,2110?

The HCF of 6071,2110 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 6071/425, 2110/929?

Answer: GCF of Numerators as per given numbers 6071/425, 2110/929 is

GCF of Numerators i.e. for 6071,2110 is 1

LCM of denominators i.e. for 425,929 is 394825.

Thus, GCF of Fractions is 1/394825.Finally, GCF of Fractions for 6071/425, 2110/929 is 1/394825.