Greatest Common Factor of 305/29, 675/745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 305/29, 675/745

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 305/29,675/745

Given fractions are 305/29,675/745

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 305,675

Greatest Common Factor of Numerators i.e. GCF of 305,675 is 5 .

LCM of Denominators means LCM of 29,745 as per the given fractions.

LCM of 29,745 is 21605 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 305,675

GCF of Fractions 305/29,675/745 is 5/21605

5 305, 675
61, 135

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

Greatest Common Factor of 305,675 By Matching Biggest Common Factor Method

Greatest Common Factor of 305,675 By Matching Biggest Common Factor Method

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Greatest Common Factor

We found the factors 305,675 . The biggest common factor number is the GCF number.
So the greatest common factor 305,675 is 5.

Lets's calculate LCM of 29,745

Given numbers has no common factors except 1. So, there LCM is their product i.e 21605

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/21605

Therefore, the GCF of Fractions 305/29,675/745 is 5/21605

Least Common Multiple of 29,745 with GCF Formula

Least Common Multiple of 29,745 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 29,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,745) = 1

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

GCF(29,745) x common factors =1 x 1 = 1

LCM(29,745) = ( 29 × 745 ) / 1

LCM(29,745) = 21605 / 1

LCM(29,745) = 21605


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 305/29, 675/745

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 305/29, 675/745?

Answer: GCF of Numerators as per given numbers 305/29, 675/745 is

GCF of Numerators i.e. for 305,675 is 5

LCM of denominators i.e. for 29,745 is 21605.

Thus, GCF of Fractions is 5/21605.Finally, GCF of Fractions for 305/29, 675/745 is 5/21605.