How to Find GCF of 8069/108, 3761/5887?

GCF of 8069/108, 3761/5887

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 8069/108, 3761/5887 i.e 1/635796 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8069/108, 3761/5887.

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 8069/108,3761/5887?

Given fractions are 8069/108,3761/5887

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 8069/108,3761/5887, numerators are 8069,3761

Denominators are 108,5887

The GCF of 8069,3761 is 1 .

LCM of 108,5887 is 635796.

The greatest common factor of 8069/108,3761/5887 = [GCF of 8069,3761]/[LCM of 108,5887]= 1/635796

Therefore, the GCF of 8069/108,3761/5887 is 1/635796.

Greatest Common Factor of 8069,3761

To find the highest common factor of 8069,3761, we have to find the factors of both numbers and list the highest common factor.

The factors of 8069 are 1, 8069

The factors of 3761 are 1, 3761

The HCF of 8069,3761 is 1.

Lets's calculate GCF of 8069,3761

Greatest Common Factor (GCF) of 8069,3761 By Common Division

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

Greatest Common Factor of 8069,3761 By Matching Biggest Common Factor Method

Now, list down the factors of 8069

1,8069

Now, list down the factors of 3761

1,3761

Greatest Common Factor

We found the factors 8069,3761 . The biggest common factor number is the GCF number.
So the greatest common factor 8069,3761 is 1.

Lets's calculate LCM of 108,5887

Lowest Common Multiple of 108,5887 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 635796

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/635796

Therefore, the GCF of Fractions 8069/108,3761/5887 is 1/635796

Least Common Multiple of 108,5887 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 108,5887 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,5887) = 1

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

GCF(108,5887) x common factors =1 x 1 = 1

LCM(108,5887) = ( 108 × 5887 ) / 1

LCM(108,5887) = 635796 / 1

LCM(108,5887) = 635796

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FAQs on GCF of Fractions of 8069/108, 3761/5887

1. What is the HCF of 8069,3761?

The HCF of 8069,3761 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 8069/108, 3761/5887?

Answer: GCF of Numerators as per given numbers 8069/108, 3761/5887 is

GCF of Numerators i.e. for 8069,3761 is 1

LCM of denominators i.e. for 108,5887 is 635796.

Thus, GCF of Fractions is 1/635796.Finally, GCF of Fractions for 8069/108, 3761/5887 is 1/635796.