How to Find GCF of 4366/685, 9809/9887?

GCF of 4366/685, 9809/9887

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 4366/685, 9809/9887 i.e 1/6772595 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4366/685, 9809/9887.

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 4366/685,9809/9887?

Given fractions are 4366/685,9809/9887

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 4366/685,9809/9887, numerators are 4366,9809

Denominators are 685,9887

The GCF of 4366,9809 is 1 .

LCM of 685,9887 is 6772595.

The greatest common factor of 4366/685,9809/9887 = [GCF of 4366,9809]/[LCM of 685,9887]= 1/6772595

Therefore, the GCF of 4366/685,9809/9887 is 1/6772595.

Greatest Common Factor of 4366,9809

To find the highest common factor of 4366,9809, we have to find the factors of both numbers and list the highest common factor.

The factors of 4366 are 1, 2, 37, 59, 74, 118, 2183, 4366

The factors of 9809 are 1, 17, 577, 9809

The HCF of 4366,9809 is 1.

Lets's calculate GCF of 4366,9809

Greatest Common Factor (GCF) of 4366,9809 By Common Division

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

Greatest Common Factor of 4366,9809 By Matching Biggest Common Factor Method

Now, list down the factors of 4366

1,2,37,59,74,118,2183,4366

Now, list down the factors of 9809

1,17,577,9809

Greatest Common Factor

We found the factors 4366,9809 . The biggest common factor number is the GCF number.
So the greatest common factor 4366,9809 is 1.

Lets's calculate LCM of 685,9887

Lowest Common Multiple of 685,9887 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6772595

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6772595

Therefore, the GCF of Fractions 4366/685,9809/9887 is 1/6772595

Least Common Multiple of 685,9887 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 685,9887 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(685,9887) = 1

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

GCF(685,9887) x common factors =1 x 1 = 1

LCM(685,9887) = ( 685 × 9887 ) / 1

LCM(685,9887) = 6772595 / 1

LCM(685,9887) = 6772595

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FAQs on GCF of Fractions of 4366/685, 9809/9887

1. What is the HCF of 4366,9809?

The HCF of 4366,9809 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 4366/685, 9809/9887?

Answer: GCF of Numerators as per given numbers 4366/685, 9809/9887 is

GCF of Numerators i.e. for 4366,9809 is 1

LCM of denominators i.e. for 685,9887 is 6772595.

Thus, GCF of Fractions is 1/6772595.Finally, GCF of Fractions for 4366/685, 9809/9887 is 1/6772595.