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GCF of 7286/441, 3163/9483

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 7286/441, 3163/9483 i.e 1/1394001 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7286/441, 3163/9483.

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 7286/441,3163/9483?

Given fractions are 7286/441,3163/9483

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 7286/441,3163/9483, numerators are 7286,3163

Denominators are 441,9483

The GCF of 7286,3163 is 1 .

LCM of 441,9483 is 1394001.

The greatest common factor of 7286/441,3163/9483 = [GCF of 7286,3163]/[LCM of 441,9483]= 1/1394001

Therefore, the GCF of 7286/441,3163/9483 is 1/1394001.

Greatest Common Factor of 7286,3163

To find the highest common factor of 7286,3163, we have to find the factors of both numbers and list the highest common factor.

The factors of 7286 are 1, 2, 3643, 7286

The factors of 3163 are 1, 3163

The HCF of 7286,3163 is 1.

Lets's calculate GCF of 7286,3163

Greatest Common Factor (GCF) of 7286,3163 By Common Division

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

Greatest Common Factor of 7286,3163 By Matching Biggest Common Factor Method

Greatest Common Factor of 7286,3163 By Matching Biggest Common Factor Method

Now, list down the factors of 7286

:

1,2,3643,7286

Now, list down the factors of 3163

:

1,3163

Greatest Common Factor

We found the factors 7286,3163 . The biggest common factor number is the GCF number.
So the greatest common factor 7286,3163 is 1.

Lets's calculate LCM of 441,9483

Lowest Common Multiple of 441,9483 using Common Division

3 441, 9483
147, 3161

∴ So the LCM of the given numbers is 3 x 147 x 3161 = 1394001

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1394001

Therefore, the GCF of Fractions 7286/441,3163/9483 is 1/1394001

Least Common Multiple of 441,9483 with GCF Formula

Least Common Multiple of 441,9483 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 441,9483 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(441,9483) = 3

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

GCF(441,9483) x common factors =3 x 1 = 3

LCM(441,9483) = ( 441 × 9483 ) / 3

LCM(441,9483) = 4182003 / 3

LCM(441,9483) = 1394001


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FAQs on GCF of Fractions of 7286/441, 3163/9483

1. What is the HCF of 7286,3163?

The HCF of 7286,3163 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 7286/441, 3163/9483?

Answer: GCF of Numerators as per given numbers 7286/441, 3163/9483 is

GCF of Numerators i.e. for 7286,3163 is 1

LCM of denominators i.e. for 441,9483 is 1394001.

Thus, GCF of Fractions is 1/1394001.Finally, GCF of Fractions for 7286/441, 3163/9483 is 1/1394001.