Greatest Common Factor of 301/88, 363/98, 464/517

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 301/88, 363/98, 464/517

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 301/88,363/98,464/517

Given fractions are 301/88,363/98,464/517

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 301,363,464

Greatest Common Factor of Numerators i.e. GCF of 301,363,464 is 1 .

LCM of Denominators means LCM of 88,98,517 as per the given fractions.

LCM of 88,98,517 is 202664 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 301,363,464

GCF of Fractions 301/88,363/98,464/517 is 1/202664

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

Greatest Common Factor of 301,363,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 301,363,464 By Matching Biggest Common Factor Method

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 301,363,464 . The biggest common factor number is the GCF number.
So the greatest common factor 301,363,464 is 1.

Lets's calculate LCM of 88,98,517

2 88, 98, 517
11 44, 49, 517
4, 49, 47

∴ So the LCM of the given numbers is 2 x 11 x 4 x 49 x 47 = 202664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/202664

Therefore, the GCF of Fractions 301/88,363/98,464/517 is 1/202664

Least Common Multiple of 88,98,517 with GCF Formula

Least Common Multiple of 88,98,517 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 88,98,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,98,517) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(88,98,517) x common factors =1 x 22 = 22

LCM(88,98,517) = ( 88 × 98 × 517 ) / 22

LCM(88,98,517) = 4458608 / 22

LCM(88,98,517) = 202664


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 301/88, 363/98, 464/517

1. 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.

2. What is the GCF of Fractions for 301/88, 363/98, 464/517?

Answer: GCF of Numerators as per given numbers 301/88, 363/98, 464/517 is

GCF of Numerators i.e. for 301,363,464 is 1

LCM of denominators i.e. for 88,98,517 is 202664.

Thus, GCF of Fractions is 1/202664.Finally, GCF of Fractions for 301/88, 363/98, 464/517 is 1/202664.