How to Find GCF of 494/187, 4761/729?

GCF of 494/187, 4761/729

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 494/187, 4761/729 i.e 1/136323 easily. The following is the detailed procedure to determine the greatest common factor of fractions 494/187, 4761/729.

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 494/187,4761/729?

Given fractions are 494/187,4761/729

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 494/187,4761/729, numerators are 494,4761

Denominators are 187,729

The GCF of 494,4761 is 1 .

LCM of 187,729 is 136323.

The greatest common factor of 494/187,4761/729 = [GCF of 494,4761]/[LCM of 187,729]= 1/136323

Therefore, the GCF of 494/187,4761/729 is 1/136323.

Greatest Common Factor of 494,4761

To find the highest common factor of 494,4761, we have to find the factors of both numbers and list the highest common factor.

The factors of 494 are 1, 2, 13, 19, 26, 38, 247, 494

The factors of 4761 are 1, 3, 9, 23, 69, 207, 529, 1587, 4761

The HCF of 494,4761 is 1.

Lets's calculate GCF of 494,4761

Greatest Common Factor (GCF) of 494,4761 By Common Division

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

Greatest Common Factor of 494,4761 By Matching Biggest Common Factor Method

Now, list down the factors of 494

1,2,13,19,26,38,247,494

Now, list down the factors of 4761

1,3,9,23,69,207,529,1587,4761

Greatest Common Factor

We found the factors 494,4761 . The biggest common factor number is the GCF number.
So the greatest common factor 494,4761 is 1.

Lets's calculate LCM of 187,729

Lowest Common Multiple of 187,729 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 136323

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/136323

Therefore, the GCF of Fractions 494/187,4761/729 is 1/136323

Least Common Multiple of 187,729 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 187,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(187,729) = 1

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

GCF(187,729) x common factors =1 x 1 = 1

LCM(187,729) = ( 187 × 729 ) / 1

LCM(187,729) = 136323 / 1

LCM(187,729) = 136323

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FAQs on GCF of Fractions of 494/187, 4761/729

1. What is the HCF of 494,4761?

The HCF of 494,4761 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 494/187, 4761/729?

Answer: GCF of Numerators as per given numbers 494/187, 4761/729 is

GCF of Numerators i.e. for 494,4761 is 1

LCM of denominators i.e. for 187,729 is 136323.

Thus, GCF of Fractions is 1/136323.Finally, GCF of Fractions for 494/187, 4761/729 is 1/136323.