How to Find GCF of 5098/128, 4643/9612?

GCF of 5098/128, 4643/9612

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 5098/128, 4643/9612 i.e 1/307584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5098/128, 4643/9612.

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 5098/128,4643/9612?

Given fractions are 5098/128,4643/9612

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 5098/128,4643/9612, numerators are 5098,4643

Denominators are 128,9612

The GCF of 5098,4643 is 1 .

LCM of 128,9612 is 307584.

The greatest common factor of 5098/128,4643/9612 = [GCF of 5098,4643]/[LCM of 128,9612]= 1/307584

Therefore, the GCF of 5098/128,4643/9612 is 1/307584.

Greatest Common Factor of 5098,4643

To find the highest common factor of 5098,4643, we have to find the factors of both numbers and list the highest common factor.

The factors of 5098 are 1, 2, 2549, 5098

The factors of 4643 are 1, 4643

The HCF of 5098,4643 is 1.

Lets's calculate GCF of 5098,4643

Greatest Common Factor (GCF) of 5098,4643 By Common Division

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

Greatest Common Factor of 5098,4643 By Matching Biggest Common Factor Method

Now, list down the factors of 5098

1,2,2549,5098

Now, list down the factors of 4643

1,4643

Greatest Common Factor

We found the factors 5098,4643 . The biggest common factor number is the GCF number.
So the greatest common factor 5098,4643 is 1.

Lets's calculate LCM of 128,9612

Lowest Common Multiple of 128,9612 using Common Division

2	128, 9612
2	64, 4806
	32, 2403

∴ So the LCM of the given numbers is 2 x 2 x 32 x 2403 = 307584

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/307584

Therefore, the GCF of Fractions 5098/128,4643/9612 is 1/307584

Least Common Multiple of 128,9612 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 128,9612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(128,9612) = 4

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

GCF(128,9612) x common factors =4 x 1 = 4

LCM(128,9612) = ( 128 × 9612 ) / 4

LCM(128,9612) = 1230336 / 4

LCM(128,9612) = 307584

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FAQs on GCF of Fractions of 5098/128, 4643/9612

1. What is the HCF of 5098,4643?

The HCF of 5098,4643 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 5098/128, 4643/9612?

Answer: GCF of Numerators as per given numbers 5098/128, 4643/9612 is

GCF of Numerators i.e. for 5098,4643 is 1

LCM of denominators i.e. for 128,9612 is 307584.

Thus, GCF of Fractions is 1/307584.Finally, GCF of Fractions for 5098/128, 4643/9612 is 1/307584.