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GCF of 4857/393, 9833/6846

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 4857/393, 9833/6846 i.e 1/896826 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4857/393, 9833/6846.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 4857/393,9833/6846?

Given fractions are 4857/393,9833/6846

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 4857/393,9833/6846, numerators are 4857,9833

Denominators are 393,6846

The GCF of 4857,9833 is 1 .

LCM of 393,6846 is 896826.

The greatest common factor of 4857/393,9833/6846 = [GCF of 4857,9833]/[LCM of 393,6846]= 1/896826

Therefore, the GCF of 4857/393,9833/6846 is 1/896826.

Greatest Common Factor of 4857,9833

To find the highest common factor of 4857,9833, we have to find the factors of both numbers and list the highest common factor.

The factors of 4857 are 1, 3, 1619, 4857

The factors of 9833 are 1, 9833

The HCF of 4857,9833 is 1.

Lets's calculate GCF of 4857,9833

Greatest Common Factor (GCF) of 4857,9833 By Common Division

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

Greatest Common Factor of 4857,9833 By Matching Biggest Common Factor Method

Greatest Common Factor of 4857,9833 By Matching Biggest Common Factor Method

Now, list down the factors of 4857

:

1,3,1619,4857

Now, list down the factors of 9833

:

1,9833

Greatest Common Factor

We found the factors 4857,9833 . The biggest common factor number is the GCF number.
So the greatest common factor 4857,9833 is 1.

Lets's calculate LCM of 393,6846

Lowest Common Multiple of 393,6846 using Common Division

3 393, 6846
131, 2282

∴ So the LCM of the given numbers is 3 x 131 x 2282 = 896826

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/896826

Therefore, the GCF of Fractions 4857/393,9833/6846 is 1/896826

Least Common Multiple of 393,6846 with GCF Formula

Least Common Multiple of 393,6846 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 393,6846 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(393,6846) = 3

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

GCF(393,6846) x common factors =3 x 1 = 3

LCM(393,6846) = ( 393 × 6846 ) / 3

LCM(393,6846) = 2690478 / 3

LCM(393,6846) = 896826


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FAQs on GCF of Fractions of 4857/393, 9833/6846

1. What is the HCF of 4857,9833?

The HCF of 4857,9833 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 4857/393, 9833/6846?

Answer: GCF of Numerators as per given numbers 4857/393, 9833/6846 is

GCF of Numerators i.e. for 4857,9833 is 1

LCM of denominators i.e. for 393,6846 is 896826.

Thus, GCF of Fractions is 1/896826.Finally, GCF of Fractions for 4857/393, 9833/6846 is 1/896826.