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GCF of 3981/296, 8219/9862

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 3981/296, 8219/9862 i.e 1/1459576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3981/296, 8219/9862.

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 3981/296,8219/9862?

Given fractions are 3981/296,8219/9862

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 3981/296,8219/9862, numerators are 3981,8219

Denominators are 296,9862

The GCF of 3981,8219 is 1 .

LCM of 296,9862 is 1459576.

The greatest common factor of 3981/296,8219/9862 = [GCF of 3981,8219]/[LCM of 296,9862]= 1/1459576

Therefore, the GCF of 3981/296,8219/9862 is 1/1459576.

Greatest Common Factor of 3981,8219

To find the highest common factor of 3981,8219, we have to find the factors of both numbers and list the highest common factor.

The factors of 3981 are 1, 3, 1327, 3981

The factors of 8219 are 1, 8219

The HCF of 3981,8219 is 1.

Lets's calculate GCF of 3981,8219

Greatest Common Factor (GCF) of 3981,8219 By Common Division

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

Greatest Common Factor of 3981,8219 By Matching Biggest Common Factor Method

Greatest Common Factor of 3981,8219 By Matching Biggest Common Factor Method

Now, list down the factors of 3981

:

1,3,1327,3981

Now, list down the factors of 8219

:

1,8219

Greatest Common Factor

We found the factors 3981,8219 . The biggest common factor number is the GCF number.
So the greatest common factor 3981,8219 is 1.

Lets's calculate LCM of 296,9862

Lowest Common Multiple of 296,9862 using Common Division

2 296, 9862
148, 4931

∴ So the LCM of the given numbers is 2 x 148 x 4931 = 1459576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1459576

Therefore, the GCF of Fractions 3981/296,8219/9862 is 1/1459576

Least Common Multiple of 296,9862 with GCF Formula

Least Common Multiple of 296,9862 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 296,9862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,9862) = 2

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

GCF(296,9862) x common factors =2 x 1 = 2

LCM(296,9862) = ( 296 × 9862 ) / 2

LCM(296,9862) = 2919152 / 2

LCM(296,9862) = 1459576


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FAQs on GCF of Fractions of 3981/296, 8219/9862

1. What is the HCF of 3981,8219?

The HCF of 3981,8219 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 3981/296, 8219/9862?

Answer: GCF of Numerators as per given numbers 3981/296, 8219/9862 is

GCF of Numerators i.e. for 3981,8219 is 1

LCM of denominators i.e. for 296,9862 is 1459576.

Thus, GCF of Fractions is 1/1459576.Finally, GCF of Fractions for 3981/296, 8219/9862 is 1/1459576.