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GCF of 488/385, 4663/2310

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 488/385, 4663/2310 i.e 1/2310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 488/385, 4663/2310.

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 488/385,4663/2310?

Given fractions are 488/385,4663/2310

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 488/385,4663/2310, numerators are 488,4663

Denominators are 385,2310

The GCF of 488,4663 is 1 .

LCM of 385,2310 is 2310.

The greatest common factor of 488/385,4663/2310 = [GCF of 488,4663]/[LCM of 385,2310]= 1/2310

Therefore, the GCF of 488/385,4663/2310 is 1/2310.

Greatest Common Factor of 488,4663

To find the highest common factor of 488,4663, we have to find the factors of both numbers and list the highest common factor.

The factors of 488 are 1, 2, 4, 8, 61, 122, 244, 488

The factors of 4663 are 1, 4663

The HCF of 488,4663 is 1.

Lets's calculate GCF of 488,4663

Greatest Common Factor (GCF) of 488,4663 By Common Division

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

Greatest Common Factor of 488,4663 By Matching Biggest Common Factor Method

Greatest Common Factor of 488,4663 By Matching Biggest Common Factor Method

Now, list down the factors of 488

:

1,2,4,8,61,122,244,488

Now, list down the factors of 4663

:

1,4663

Greatest Common Factor

We found the factors 488,4663 . The biggest common factor number is the GCF number.
So the greatest common factor 488,4663 is 1.

Lets's calculate LCM of 385,2310

Lowest Common Multiple of 385,2310 using Common Division

5 385, 2310
7 77, 462
11 11, 66
1, 6

∴ So the LCM of the given numbers is 5 x 7 x 11 x 1 x 6 = 2310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2310

Therefore, the GCF of Fractions 488/385,4663/2310 is 1/2310

Least Common Multiple of 385,2310 with GCF Formula

Least Common Multiple of 385,2310 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 385,2310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(385,2310) = 385

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

GCF(385,2310) x common factors =385 x 1 = 385

LCM(385,2310) = ( 385 × 2310 ) / 385

LCM(385,2310) = 889350 / 385

LCM(385,2310) = 2310


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FAQs on GCF of Fractions of 488/385, 4663/2310

1. What is the HCF of 488,4663?

The HCF of 488,4663 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 488/385, 4663/2310?

Answer: GCF of Numerators as per given numbers 488/385, 4663/2310 is

GCF of Numerators i.e. for 488,4663 is 1

LCM of denominators i.e. for 385,2310 is 2310.

Thus, GCF of Fractions is 1/2310.Finally, GCF of Fractions for 488/385, 4663/2310 is 1/2310.