How to Find GCF of 9726/809, 4202/4878?

GCF of 9726/809, 4202/4878

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 9726/809, 4202/4878 i.e 2/3946302 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9726/809, 4202/4878.

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 9726/809,4202/4878?

Given fractions are 9726/809,4202/4878

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 9726/809,4202/4878, numerators are 9726,4202

Denominators are 809,4878

The GCF of 9726,4202 is 2 .

LCM of 809,4878 is 3946302.

The greatest common factor of 9726/809,4202/4878 = [GCF of 9726,4202]/[LCM of 809,4878]= 2/3946302

Therefore, the GCF of 9726/809,4202/4878 is 2/3946302.

Greatest Common Factor of 9726,4202

To find the highest common factor of 9726,4202, we have to find the factors of both numbers and list the highest common factor.

The factors of 9726 are 1, 2, 3, 6, 1621, 3242, 4863, 9726

The factors of 4202 are 1, 2, 11, 22, 191, 382, 2101, 4202

The HCF of 9726,4202 is 2.

Lets's calculate GCF of 9726,4202

Greatest Common Factor (GCF) of 9726,4202 By Common Division

2	9726, 4202
	4863, 2101

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9726,4202 By Matching Biggest Common Factor Method

Now, list down the factors of 9726

1,2,3,6,1621,3242,4863,9726

Now, list down the factors of 4202

1,2,11,22,191,382,2101,4202

Greatest Common Factor

We found the factors 9726,4202 . The biggest common factor number is the GCF number.
So the greatest common factor 9726,4202 is 2.

Lets's calculate LCM of 809,4878

Lowest Common Multiple of 809,4878 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3946302

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3946302

Therefore, the GCF of Fractions 9726/809,4202/4878 is 2/3946302

Least Common Multiple of 809,4878 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 809,4878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(809,4878) = 1

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

GCF(809,4878) x common factors =1 x 1 = 1

LCM(809,4878) = ( 809 × 4878 ) / 1

LCM(809,4878) = 3946302 / 1

LCM(809,4878) = 3946302

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FAQs on GCF of Fractions of 9726/809, 4202/4878

1. What is the HCF of 9726,4202?

The HCF of 9726,4202 is 2

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 9726/809, 4202/4878?

Answer: GCF of Numerators as per given numbers 9726/809, 4202/4878 is

GCF of Numerators i.e. for 9726,4202 is 2

LCM of denominators i.e. for 809,4878 is 3946302.

Thus, GCF of Fractions is 2/3946302.Finally, GCF of Fractions for 9726/809, 4202/4878 is 2/3946302.