How to Find GCF of 7066/404, 9763/9926?

GCF of 7066/404, 9763/9926

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 7066/404, 9763/9926 i.e 1/2005052 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7066/404, 9763/9926.

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 7066/404,9763/9926?

Given fractions are 7066/404,9763/9926

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 7066/404,9763/9926, numerators are 7066,9763

Denominators are 404,9926

The GCF of 7066,9763 is 1 .

LCM of 404,9926 is 2005052.

The greatest common factor of 7066/404,9763/9926 = [GCF of 7066,9763]/[LCM of 404,9926]= 1/2005052

Therefore, the GCF of 7066/404,9763/9926 is 1/2005052.

Greatest Common Factor of 7066,9763

To find the highest common factor of 7066,9763, we have to find the factors of both numbers and list the highest common factor.

The factors of 7066 are 1, 2, 3533, 7066

The factors of 9763 are 1, 13, 751, 9763

The HCF of 7066,9763 is 1.

Lets's calculate GCF of 7066,9763

Greatest Common Factor (GCF) of 7066,9763 By Common Division

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

Greatest Common Factor of 7066,9763 By Matching Biggest Common Factor Method

Now, list down the factors of 7066

1,2,3533,7066

Now, list down the factors of 9763

1,13,751,9763

Greatest Common Factor

We found the factors 7066,9763 . The biggest common factor number is the GCF number.
So the greatest common factor 7066,9763 is 1.

Lets's calculate LCM of 404,9926

Lowest Common Multiple of 404,9926 using Common Division

2	404, 9926
	202, 4963

∴ So the LCM of the given numbers is 2 x 202 x 4963 = 2005052

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2005052

Therefore, the GCF of Fractions 7066/404,9763/9926 is 1/2005052

Least Common Multiple of 404,9926 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 404,9926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,9926) = 2

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

GCF(404,9926) x common factors =2 x 1 = 2

LCM(404,9926) = ( 404 × 9926 ) / 2

LCM(404,9926) = 4010104 / 2

LCM(404,9926) = 2005052

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FAQs on GCF of Fractions of 7066/404, 9763/9926

1. What is the HCF of 7066,9763?

The HCF of 7066,9763 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 7066/404, 9763/9926?

Answer: GCF of Numerators as per given numbers 7066/404, 9763/9926 is

GCF of Numerators i.e. for 7066,9763 is 1

LCM of denominators i.e. for 404,9926 is 2005052.

Thus, GCF of Fractions is 1/2005052.Finally, GCF of Fractions for 7066/404, 9763/9926 is 1/2005052.