How to Find GCF of 481/744, 9727/328?

GCF of 481/744, 9727/328

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 481/744, 9727/328 i.e 1/30504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 481/744, 9727/328.

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 481/744,9727/328?

Given fractions are 481/744,9727/328

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 481/744,9727/328, numerators are 481,9727

Denominators are 744,328

The GCF of 481,9727 is 1 .

LCM of 744,328 is 30504.

The greatest common factor of 481/744,9727/328 = [GCF of 481,9727]/[LCM of 744,328]= 1/30504

Therefore, the GCF of 481/744,9727/328 is 1/30504.

Greatest Common Factor of 481,9727

To find the highest common factor of 481,9727, we have to find the factors of both numbers and list the highest common factor.

The factors of 481 are 1, 13, 37, 481

The factors of 9727 are 1, 71, 137, 9727

The HCF of 481,9727 is 1.

Lets's calculate GCF of 481,9727

Greatest Common Factor (GCF) of 481,9727 By Common Division

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

Greatest Common Factor of 481,9727 By Matching Biggest Common Factor Method

Now, list down the factors of 481

1,13,37,481

Now, list down the factors of 9727

1,71,137,9727

Greatest Common Factor

We found the factors 481,9727 . The biggest common factor number is the GCF number.
So the greatest common factor 481,9727 is 1.

Lets's calculate LCM of 744,328

Lowest Common Multiple of 744,328 using Common Division

2	744, 328
2	372, 164
2	186, 82
	93, 41

∴ So the LCM of the given numbers is 2 x 2 x 2 x 93 x 41 = 30504

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30504

Therefore, the GCF of Fractions 481/744,9727/328 is 1/30504

Least Common Multiple of 744,328 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 744,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,328) = 8

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

GCF(744,328) x common factors =8 x 1 = 8

LCM(744,328) = ( 744 × 328 ) / 8

LCM(744,328) = 244032 / 8

LCM(744,328) = 30504

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FAQs on GCF of Fractions of 481/744, 9727/328

1. What is the HCF of 481,9727?

The HCF of 481,9727 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 481/744, 9727/328?

Answer: GCF of Numerators as per given numbers 481/744, 9727/328 is

GCF of Numerators i.e. for 481,9727 is 1

LCM of denominators i.e. for 744,328 is 30504.

Thus, GCF of Fractions is 1/30504.Finally, GCF of Fractions for 481/744, 9727/328 is 1/30504.