Greatest Common Factor of 517/384, 1078/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 517/384, 1078/226

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 517/384,1078/226

Given fractions are 517/384,1078/226

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 517,1078

Greatest Common Factor of Numerators i.e. GCF of 517,1078 is 11 .

LCM of Denominators means LCM of 384,226 as per the given fractions.

LCM of 384,226 is 43392 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 517,1078

GCF of Fractions 517/384,1078/226 is 11/43392

11 517, 1078
47, 98

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 517,1078 By Matching Biggest Common Factor Method

Greatest Common Factor of 517,1078 By Matching Biggest Common Factor Method

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Factors of 1078

List of positive integer factors of 1078 that divides 1078 without a remainder.

1,2,7,11,14,22,49,77,98,154,539,1078

Greatest Common Factor

We found the factors 517,1078 . The biggest common factor number is the GCF number.
So the greatest common factor 517,1078 is 11.

Lets's calculate LCM of 384,226

2 384, 226
192, 113

∴ So the LCM of the given numbers is 2 x 192 x 113 = 43392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/43392

Therefore, the GCF of Fractions 517/384,1078/226 is 11/43392

Least Common Multiple of 384,226 with GCF Formula

Least Common Multiple of 384,226 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 384,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,226) = 2

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

GCF(384,226) x common factors =2 x 1 = 2

LCM(384,226) = ( 384 × 226 ) / 2

LCM(384,226) = 86784 / 2

LCM(384,226) = 43392


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 517/384, 1078/226

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 517/384, 1078/226?

Answer: GCF of Numerators as per given numbers 517/384, 1078/226 is

GCF of Numerators i.e. for 517,1078 is 11

LCM of denominators i.e. for 384,226 is 43392.

Thus, GCF of Fractions is 11/43392.Finally, GCF of Fractions for 517/384, 1078/226 is 11/43392.