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GCF of 9833/949, 6316/4856

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 9833/949, 6316/4856 i.e 1/4608344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9833/949, 6316/4856.

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 9833/949,6316/4856?

Given fractions are 9833/949,6316/4856

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 9833/949,6316/4856, numerators are 9833,6316

Denominators are 949,4856

The GCF of 9833,6316 is 1 .

LCM of 949,4856 is 4608344.

The greatest common factor of 9833/949,6316/4856 = [GCF of 9833,6316]/[LCM of 949,4856]= 1/4608344

Therefore, the GCF of 9833/949,6316/4856 is 1/4608344.

Greatest Common Factor of 9833,6316

To find the highest common factor of 9833,6316, we have to find the factors of both numbers and list the highest common factor.

The factors of 9833 are 1, 9833

The factors of 6316 are 1, 2, 4, 1579, 3158, 6316

The HCF of 9833,6316 is 1.

Lets's calculate GCF of 9833,6316

Greatest Common Factor (GCF) of 9833,6316 By Common Division

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

Greatest Common Factor of 9833,6316 By Matching Biggest Common Factor Method

Greatest Common Factor of 9833,6316 By Matching Biggest Common Factor Method

Now, list down the factors of 9833

:

1,9833

Now, list down the factors of 6316

:

1,2,4,1579,3158,6316

Greatest Common Factor

We found the factors 9833,6316 . The biggest common factor number is the GCF number.
So the greatest common factor 9833,6316 is 1.

Lets's calculate LCM of 949,4856

Lowest Common Multiple of 949,4856 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4608344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4608344

Therefore, the GCF of Fractions 9833/949,6316/4856 is 1/4608344

Least Common Multiple of 949,4856 with GCF Formula

Least Common Multiple of 949,4856 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 949,4856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(949,4856) = 1

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

GCF(949,4856) x common factors =1 x 1 = 1

LCM(949,4856) = ( 949 × 4856 ) / 1

LCM(949,4856) = 4608344 / 1

LCM(949,4856) = 4608344


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9833/949, 6316/4856

1. What is the HCF of 9833,6316?

The HCF of 9833,6316 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 9833/949, 6316/4856?

Answer: GCF of Numerators as per given numbers 9833/949, 6316/4856 is

GCF of Numerators i.e. for 9833,6316 is 1

LCM of denominators i.e. for 949,4856 is 4608344.

Thus, GCF of Fractions is 1/4608344.Finally, GCF of Fractions for 9833/949, 6316/4856 is 1/4608344.