How to Find GCF of 6709/288, 1865/3761?

GCF of 6709/288, 1865/3761

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 6709/288, 1865/3761 i.e 1/1083168 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6709/288, 1865/3761.

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 6709/288,1865/3761?

Given fractions are 6709/288,1865/3761

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 6709/288,1865/3761, numerators are 6709,1865

Denominators are 288,3761

The GCF of 6709,1865 is 1 .

LCM of 288,3761 is 1083168.

The greatest common factor of 6709/288,1865/3761 = [GCF of 6709,1865]/[LCM of 288,3761]= 1/1083168

Therefore, the GCF of 6709/288,1865/3761 is 1/1083168.

Greatest Common Factor of 6709,1865

To find the highest common factor of 6709,1865, we have to find the factors of both numbers and list the highest common factor.

The factors of 6709 are 1, 6709

The factors of 1865 are 1, 5, 373, 1865

The HCF of 6709,1865 is 1.

Lets's calculate GCF of 6709,1865

Greatest Common Factor (GCF) of 6709,1865 By Common Division

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

Greatest Common Factor of 6709,1865 By Matching Biggest Common Factor Method

Now, list down the factors of 6709

1,6709

Now, list down the factors of 1865

1,5,373,1865

Greatest Common Factor

We found the factors 6709,1865 . The biggest common factor number is the GCF number.
So the greatest common factor 6709,1865 is 1.

Lets's calculate LCM of 288,3761

Lowest Common Multiple of 288,3761 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1083168

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1083168

Therefore, the GCF of Fractions 6709/288,1865/3761 is 1/1083168

Least Common Multiple of 288,3761 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 288,3761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,3761) = 1

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

GCF(288,3761) x common factors =1 x 1 = 1

LCM(288,3761) = ( 288 × 3761 ) / 1

LCM(288,3761) = 1083168 / 1

LCM(288,3761) = 1083168

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FAQs on GCF of Fractions of 6709/288, 1865/3761

1. What is the HCF of 6709,1865?

The HCF of 6709,1865 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 6709/288, 1865/3761?

Answer: GCF of Numerators as per given numbers 6709/288, 1865/3761 is

GCF of Numerators i.e. for 6709,1865 is 1

LCM of denominators i.e. for 288,3761 is 1083168.

Thus, GCF of Fractions is 1/1083168.Finally, GCF of Fractions for 6709/288, 1865/3761 is 1/1083168.