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GCF of 4981/330, 8893/326

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 4981/330, 8893/326 i.e 1/53790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4981/330, 8893/326.

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 4981/330,8893/326?

Given fractions are 4981/330,8893/326

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 4981/330,8893/326, numerators are 4981,8893

Denominators are 330,326

The GCF of 4981,8893 is 1 .

LCM of 330,326 is 53790.

The greatest common factor of 4981/330,8893/326 = [GCF of 4981,8893]/[LCM of 330,326]= 1/53790

Therefore, the GCF of 4981/330,8893/326 is 1/53790.

Greatest Common Factor of 4981,8893

To find the highest common factor of 4981,8893, we have to find the factors of both numbers and list the highest common factor.

The factors of 4981 are 1, 17, 293, 4981

The factors of 8893 are 1, 8893

The HCF of 4981,8893 is 1.

Lets's calculate GCF of 4981,8893

Greatest Common Factor (GCF) of 4981,8893 By Common Division

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

Greatest Common Factor of 4981,8893 By Matching Biggest Common Factor Method

Greatest Common Factor of 4981,8893 By Matching Biggest Common Factor Method

Now, list down the factors of 4981

:

1,17,293,4981

Now, list down the factors of 8893

:

1,8893

Greatest Common Factor

We found the factors 4981,8893 . The biggest common factor number is the GCF number.
So the greatest common factor 4981,8893 is 1.

Lets's calculate LCM of 330,326

Lowest Common Multiple of 330,326 using Common Division

2 330, 326
165, 163

∴ So the LCM of the given numbers is 2 x 165 x 163 = 53790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53790

Therefore, the GCF of Fractions 4981/330,8893/326 is 1/53790

Least Common Multiple of 330,326 with GCF Formula

Least Common Multiple of 330,326 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 330,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,326) = 2

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

GCF(330,326) x common factors =2 x 1 = 2

LCM(330,326) = ( 330 × 326 ) / 2

LCM(330,326) = 107580 / 2

LCM(330,326) = 53790


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FAQs on GCF of Fractions of 4981/330, 8893/326

1. What is the HCF of 4981,8893?

The HCF of 4981,8893 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 4981/330, 8893/326?

Answer: GCF of Numerators as per given numbers 4981/330, 8893/326 is

GCF of Numerators i.e. for 4981,8893 is 1

LCM of denominators i.e. for 330,326 is 53790.

Thus, GCF of Fractions is 1/53790.Finally, GCF of Fractions for 4981/330, 8893/326 is 1/53790.