How to Find GCF of 4817/992, 8974/4646?

GCF of 4817/992, 8974/4646

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 4817/992, 8974/4646 i.e 1/2304416 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4817/992, 8974/4646.

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 4817/992,8974/4646?

Given fractions are 4817/992,8974/4646

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 4817/992,8974/4646, numerators are 4817,8974

Denominators are 992,4646

The GCF of 4817,8974 is 1 .

LCM of 992,4646 is 2304416.

The greatest common factor of 4817/992,8974/4646 = [GCF of 4817,8974]/[LCM of 992,4646]= 1/2304416

Therefore, the GCF of 4817/992,8974/4646 is 1/2304416.

Greatest Common Factor of 4817,8974

To find the highest common factor of 4817,8974, we have to find the factors of both numbers and list the highest common factor.

The factors of 4817 are 1, 4817

The factors of 8974 are 1, 2, 7, 14, 641, 1282, 4487, 8974

The HCF of 4817,8974 is 1.

Lets's calculate GCF of 4817,8974

Greatest Common Factor (GCF) of 4817,8974 By Common Division

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

Greatest Common Factor of 4817,8974 By Matching Biggest Common Factor Method

Now, list down the factors of 4817

1,4817

Now, list down the factors of 8974

1,2,7,14,641,1282,4487,8974

Greatest Common Factor

We found the factors 4817,8974 . The biggest common factor number is the GCF number.
So the greatest common factor 4817,8974 is 1.

Lets's calculate LCM of 992,4646

Lowest Common Multiple of 992,4646 using Common Division

2	992, 4646
	496, 2323

∴ So the LCM of the given numbers is 2 x 496 x 2323 = 2304416

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2304416

Therefore, the GCF of Fractions 4817/992,8974/4646 is 1/2304416

Least Common Multiple of 992,4646 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 992,4646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,4646) = 2

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

GCF(992,4646) x common factors =2 x 1 = 2

LCM(992,4646) = ( 992 × 4646 ) / 2

LCM(992,4646) = 4608832 / 2

LCM(992,4646) = 2304416

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FAQs on GCF of Fractions of 4817/992, 8974/4646

1. What is the HCF of 4817,8974?

The HCF of 4817,8974 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 4817/992, 8974/4646?

Answer: GCF of Numerators as per given numbers 4817/992, 8974/4646 is

GCF of Numerators i.e. for 4817,8974 is 1

LCM of denominators i.e. for 992,4646 is 2304416.

Thus, GCF of Fractions is 1/2304416.Finally, GCF of Fractions for 4817/992, 8974/4646 is 1/2304416.