How to Find GCF of 98/96, 301/54, 381/853?

GCF of 98/96, 301/54, 381/853

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 98/96, 301/54, 381/853 i.e 1/736992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 98/96, 301/54, 381/853.

Enter two or more fractions separated by "commas"

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

What is the GCF of 98/96,301/54,381/853?

Given fractions are 98/96,301/54,381/853

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 98/96,301/54,381/853, numerators are 98,301,381

Denominators are 96,54,853

The GCF of 98,301,381 is 1 .

LCM of 96,54,853 is 736992.

The greatest common factor of 98/96,301/54,381/853 = [GCF of 98,301,381]/[LCM of 96,54,853]= 1/736992

Therefore, the GCF of 98/96,301/54,381/853 is 1/736992.

Greatest Common Factor of 98,301,381

To find the highest common factor of 98,301,381, we have to find the factors of both numbers and list the highest common factor.

The factors of 98 are 1, 2, 7, 14, 49, 98

The factors of 301 are 1, 7, 43, 301

The factors of 381 are 1, 3, 127, 381

The HCF of 98,301,381 is 1.

Lets's calculate GCF of 98,301,381

Greatest Common Factor (GCF) of 98,301,381 By Common Division

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

Greatest Common Factor of 98,301,381 By Matching Biggest Common Factor Method

Now, list down the factors of 98

1,2,7,14,49,98

Now, list down the factors of 301

1,7,43,301

Now, list down the factors of 381

1,3,127,381

Greatest Common Factor

We found the factors 98,301,381 . The biggest common factor number is the GCF number.
So the greatest common factor 98,301,381 is 1.

Lets's calculate LCM of 96,54,853

Lowest Common Multiple of 96,54,853 using Common Division

2	96, 54, 853
3	48, 27, 853
	16, 9, 853

∴ So the LCM of the given numbers is 2 x 3 x 16 x 9 x 853 = 736992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/736992

Therefore, the GCF of Fractions 98/96,301/54,381/853 is 1/736992

Least Common Multiple of 96,54,853 with GCF Formula

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

We need to calculate greatest common factor of 96,54,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,54,853) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(96,54,853) x common factors =1 x 6 = 6

LCM(96,54,853) = ( 96 × 54 × 853 ) / 6

LCM(96,54,853) = 4421952 / 6

LCM(96,54,853) = 736992

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FAQs on GCF of Fractions of 98/96, 301/54, 381/853

1. What is the HCF of 98,301,381?

The HCF of 98,301,381 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 98/96, 301/54, 381/853?

Answer: GCF of Numerators as per given numbers 98/96, 301/54, 381/853 is

GCF of Numerators i.e. for 98,301,381 is 1

LCM of denominators i.e. for 96,54,853 is 736992.

Thus, GCF of Fractions is 1/736992.Finally, GCF of Fractions for 98/96, 301/54, 381/853 is 1/736992.