Greatest Common Factor of 5855/33, 7497/305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5855/33, 7497/305

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 5855/33,7497/305

Given fractions are 5855/33,7497/305

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 5855,7497

Greatest Common Factor of Numerators i.e. GCF of 5855,7497 is 1 .

LCM of Denominators means LCM of 33,305 as per the given fractions.

LCM of 33,305 is 10065 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5855,7497

GCF of Fractions 5855/33,7497/305 is 1/10065

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

Greatest Common Factor of 5855,7497 By Matching Biggest Common Factor Method

Greatest Common Factor of 5855,7497 By Matching Biggest Common Factor Method

Factors of 5855

List of positive integer factors of 5855 that divides 5855 without a remainder.

1,5,1171,5855

Factors of 7497

List of positive integer factors of 7497 that divides 7497 without a remainder.

1,3,7,9,17,21,49,51,63,119,147,153,357,441,833,1071,2499,7497

Greatest Common Factor

We found the factors 5855,7497 . The biggest common factor number is the GCF number.
So the greatest common factor 5855,7497 is 1.

Lets's calculate LCM of 33,305

Given numbers has no common factors except 1. So, there LCM is their product i.e 10065

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10065

Therefore, the GCF of Fractions 5855/33,7497/305 is 1/10065

Least Common Multiple of 33,305 with GCF Formula

Least Common Multiple of 33,305 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 33,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,305) = 1

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

GCF(33,305) x common factors =1 x 1 = 1

LCM(33,305) = ( 33 × 305 ) / 1

LCM(33,305) = 10065 / 1

LCM(33,305) = 10065


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 5855/33, 7497/305

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 5855/33, 7497/305?

Answer: GCF of Numerators as per given numbers 5855/33, 7497/305 is

GCF of Numerators i.e. for 5855,7497 is 1

LCM of denominators i.e. for 33,305 is 10065.

Thus, GCF of Fractions is 1/10065.Finally, GCF of Fractions for 5855/33, 7497/305 is 1/10065.