Greatest Common Factor of 5335/33, 8176/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5335/33, 8176/731

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 5335/33,8176/731

Given fractions are 5335/33,8176/731

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 5335,8176

Greatest Common Factor of Numerators i.e. GCF of 5335,8176 is 1 .

LCM of Denominators means LCM of 33,731 as per the given fractions.

LCM of 33,731 is 24123 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5335,8176

GCF of Fractions 5335/33,8176/731 is 1/24123

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

Greatest Common Factor of 5335,8176 By Matching Biggest Common Factor Method

Greatest Common Factor of 5335,8176 By Matching Biggest Common Factor Method

Factors of 5335

List of positive integer factors of 5335 that divides 5335 without a remainder.

1,5,11,55,97,485,1067,5335

Factors of 8176

List of positive integer factors of 8176 that divides 8176 without a remainder.

1,2,4,7,8,14,16,28,56,73,112,146,292,511,584,1022,1168,2044,4088,8176

Greatest Common Factor

We found the factors 5335,8176 . The biggest common factor number is the GCF number.
So the greatest common factor 5335,8176 is 1.

Lets's calculate LCM of 33,731

Given numbers has no common factors except 1. So, there LCM is their product i.e 24123

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24123

Therefore, the GCF of Fractions 5335/33,8176/731 is 1/24123

Least Common Multiple of 33,731 with GCF Formula

Least Common Multiple of 33,731 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 33,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,731) = 1

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

GCF(33,731) x common factors =1 x 1 = 1

LCM(33,731) = ( 33 × 731 ) / 1

LCM(33,731) = 24123 / 1

LCM(33,731) = 24123


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 5335/33, 8176/731

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 5335/33, 8176/731?

Answer: GCF of Numerators as per given numbers 5335/33, 8176/731 is

GCF of Numerators i.e. for 5335,8176 is 1

LCM of denominators i.e. for 33,731 is 24123.

Thus, GCF of Fractions is 1/24123.Finally, GCF of Fractions for 5335/33, 8176/731 is 1/24123.