Greatest Common Factor of 5104/33, 7686/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5104/33, 7686/505

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 5104/33,7686/505

Given fractions are 5104/33,7686/505

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 5104,7686

Greatest Common Factor of Numerators i.e. GCF of 5104,7686 is 2 .

LCM of Denominators means LCM of 33,505 as per the given fractions.

LCM of 33,505 is 16665 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5104,7686

GCF of Fractions 5104/33,7686/505 is 2/16665

2 5104, 7686
2552, 3843

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5104,7686 By Matching Biggest Common Factor Method

Greatest Common Factor of 5104,7686 By Matching Biggest Common Factor Method

Factors of 5104

List of positive integer factors of 5104 that divides 5104 without a remainder.

1,2,4,8,11,16,22,29,44,58,88,116,176,232,319,464,638,1276,2552,5104

Factors of 7686

List of positive integer factors of 7686 that divides 7686 without a remainder.

1,2,3,6,7,9,14,18,21,42,61,63,122,126,183,366,427,549,854,1098,1281,2562,3843,7686

Greatest Common Factor

We found the factors 5104,7686 . The biggest common factor number is the GCF number.
So the greatest common factor 5104,7686 is 2.

Lets's calculate LCM of 33,505

Given numbers has no common factors except 1. So, there LCM is their product i.e 16665

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16665

Therefore, the GCF of Fractions 5104/33,7686/505 is 2/16665

Least Common Multiple of 33,505 with GCF Formula

Least Common Multiple of 33,505 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 33,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,505) = 1

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

GCF(33,505) x common factors =1 x 1 = 1

LCM(33,505) = ( 33 × 505 ) / 1

LCM(33,505) = 16665 / 1

LCM(33,505) = 16665


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 5104/33, 7686/505

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 5104/33, 7686/505?

Answer: GCF of Numerators as per given numbers 5104/33, 7686/505 is

GCF of Numerators i.e. for 5104,7686 is 2

LCM of denominators i.e. for 33,505 is 16665.

Thus, GCF of Fractions is 2/16665.Finally, GCF of Fractions for 5104/33, 7686/505 is 2/16665.