How to Find GCF of 8759/711, 4073/6076?

GCF of 8759/711, 4073/6076

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 8759/711, 4073/6076 i.e 1/4320036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8759/711, 4073/6076.

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 8759/711,4073/6076?

Given fractions are 8759/711,4073/6076

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 8759/711,4073/6076, numerators are 8759,4073

Denominators are 711,6076

The GCF of 8759,4073 is 1 .

LCM of 711,6076 is 4320036.

The greatest common factor of 8759/711,4073/6076 = [GCF of 8759,4073]/[LCM of 711,6076]= 1/4320036

Therefore, the GCF of 8759/711,4073/6076 is 1/4320036.

Greatest Common Factor of 8759,4073

To find the highest common factor of 8759,4073, we have to find the factors of both numbers and list the highest common factor.

The factors of 8759 are 1, 19, 461, 8759

The factors of 4073 are 1, 4073

The HCF of 8759,4073 is 1.

Lets's calculate GCF of 8759,4073

Greatest Common Factor (GCF) of 8759,4073 By Common Division

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

Greatest Common Factor of 8759,4073 By Matching Biggest Common Factor Method

Now, list down the factors of 8759

1,19,461,8759

Now, list down the factors of 4073

1,4073

Greatest Common Factor

We found the factors 8759,4073 . The biggest common factor number is the GCF number.
So the greatest common factor 8759,4073 is 1.

Lets's calculate LCM of 711,6076

Lowest Common Multiple of 711,6076 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4320036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4320036

Therefore, the GCF of Fractions 8759/711,4073/6076 is 1/4320036

Least Common Multiple of 711,6076 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 711,6076 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,6076) = 1

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

GCF(711,6076) x common factors =1 x 1 = 1

LCM(711,6076) = ( 711 × 6076 ) / 1

LCM(711,6076) = 4320036 / 1

LCM(711,6076) = 4320036

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FAQs on GCF of Fractions of 8759/711, 4073/6076

1. What is the HCF of 8759,4073?

The HCF of 8759,4073 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 8759/711, 4073/6076?

Answer: GCF of Numerators as per given numbers 8759/711, 4073/6076 is

GCF of Numerators i.e. for 8759,4073 is 1

LCM of denominators i.e. for 711,6076 is 4320036.

Thus, GCF of Fractions is 1/4320036.Finally, GCF of Fractions for 8759/711, 4073/6076 is 1/4320036.