Greatest Common Factor of 4495/29, 7305/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4495/29, 7305/288

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 4495/29,7305/288

Given fractions are 4495/29,7305/288

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 4495,7305

Greatest Common Factor of Numerators i.e. GCF of 4495,7305 is 5 .

LCM of Denominators means LCM of 29,288 as per the given fractions.

LCM of 29,288 is 8352 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4495,7305

GCF of Fractions 4495/29,7305/288 is 5/8352

5 4495, 7305
899, 1461

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 4495,7305 By Matching Biggest Common Factor Method

Greatest Common Factor of 4495,7305 By Matching Biggest Common Factor Method

Factors of 4495

List of positive integer factors of 4495 that divides 4495 without a remainder.

1,5,29,31,145,155,899,4495

Factors of 7305

List of positive integer factors of 7305 that divides 7305 without a remainder.

1,3,5,15,487,1461,2435,7305

Greatest Common Factor

We found the factors 4495,7305 . The biggest common factor number is the GCF number.
So the greatest common factor 4495,7305 is 5.

Lets's calculate LCM of 29,288

Given numbers has no common factors except 1. So, there LCM is their product i.e 8352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/8352

Therefore, the GCF of Fractions 4495/29,7305/288 is 5/8352

Least Common Multiple of 29,288 with GCF Formula

Least Common Multiple of 29,288 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 29,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,288) = 1

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

GCF(29,288) x common factors =1 x 1 = 1

LCM(29,288) = ( 29 × 288 ) / 1

LCM(29,288) = 8352 / 1

LCM(29,288) = 8352


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 4495/29, 7305/288

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 4495/29, 7305/288?

Answer: GCF of Numerators as per given numbers 4495/29, 7305/288 is

GCF of Numerators i.e. for 4495,7305 is 5

LCM of denominators i.e. for 29,288 is 8352.

Thus, GCF of Fractions is 5/8352.Finally, GCF of Fractions for 4495/29, 7305/288 is 5/8352.