How to Find GCF of 9909/992, 5515/5934?

GCF of 9909/992, 5515/5934

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 9909/992, 5515/5934 i.e 1/2943264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9909/992, 5515/5934.

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 9909/992,5515/5934?

Given fractions are 9909/992,5515/5934

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 9909/992,5515/5934, numerators are 9909,5515

Denominators are 992,5934

The GCF of 9909,5515 is 1 .

LCM of 992,5934 is 2943264.

The greatest common factor of 9909/992,5515/5934 = [GCF of 9909,5515]/[LCM of 992,5934]= 1/2943264

Therefore, the GCF of 9909/992,5515/5934 is 1/2943264.

Greatest Common Factor of 9909,5515

To find the highest common factor of 9909,5515, we have to find the factors of both numbers and list the highest common factor.

The factors of 9909 are 1, 3, 9, 27, 367, 1101, 3303, 9909

The factors of 5515 are 1, 5, 1103, 5515

The HCF of 9909,5515 is 1.

Lets's calculate GCF of 9909,5515

Greatest Common Factor (GCF) of 9909,5515 By Common Division

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

Greatest Common Factor of 9909,5515 By Matching Biggest Common Factor Method

Now, list down the factors of 9909

1,3,9,27,367,1101,3303,9909

Now, list down the factors of 5515

1,5,1103,5515

Greatest Common Factor

We found the factors 9909,5515 . The biggest common factor number is the GCF number.
So the greatest common factor 9909,5515 is 1.

Lets's calculate LCM of 992,5934

Lowest Common Multiple of 992,5934 using Common Division

2	992, 5934
	496, 2967

∴ So the LCM of the given numbers is 2 x 496 x 2967 = 2943264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2943264

Therefore, the GCF of Fractions 9909/992,5515/5934 is 1/2943264

Least Common Multiple of 992,5934 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 992,5934 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,5934) = 2

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

GCF(992,5934) x common factors =2 x 1 = 2

LCM(992,5934) = ( 992 × 5934 ) / 2

LCM(992,5934) = 5886528 / 2

LCM(992,5934) = 2943264

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FAQs on GCF of Fractions of 9909/992, 5515/5934

1. What is the HCF of 9909,5515?

The HCF of 9909,5515 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 9909/992, 5515/5934?

Answer: GCF of Numerators as per given numbers 9909/992, 5515/5934 is

GCF of Numerators i.e. for 9909,5515 is 1

LCM of denominators i.e. for 992,5934 is 2943264.

Thus, GCF of Fractions is 1/2943264.Finally, GCF of Fractions for 9909/992, 5515/5934 is 1/2943264.