Greatest Common Factor of 303/53, 948/45, 730/15

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 303/53, 948/45, 730/15

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 303/53,948/45,730/15

Given fractions are 303/53,948/45,730/15

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 303,948,730

Greatest Common Factor of Numerators i.e. GCF of 303,948,730 is 1 .

LCM of Denominators means LCM of 53,45,15 as per the given fractions.

LCM of 53,45,15 is 2385 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 303,948,730

GCF of Fractions 303/53,948/45,730/15 is 1/2385

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

Greatest Common Factor of 303,948,730 By Matching Biggest Common Factor Method

Greatest Common Factor of 303,948,730 By Matching Biggest Common Factor Method

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Greatest Common Factor

We found the factors 303,948,730 . The biggest common factor number is the GCF number.
So the greatest common factor 303,948,730 is 1.

Lets's calculate LCM of 53,45,15

3 53, 45, 15
5 53, 15, 5
53, 3, 1

∴ So the LCM of the given numbers is 3 x 5 x 53 x 3 x 1 = 2385

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2385

Therefore, the GCF of Fractions 303/53,948/45,730/15 is 1/2385

Least Common Multiple of 53,45,15 with GCF Formula

Least Common Multiple of 53,45,15 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 53,45,15 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,45,15) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(53,45,15) x common factors =1 x 15 = 15

LCM(53,45,15) = ( 53 × 45 × 15 ) / 15

LCM(53,45,15) = 35775 / 15

LCM(53,45,15) = 2385


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 303/53, 948/45, 730/15

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 303/53, 948/45, 730/15?

Answer: GCF of Numerators as per given numbers 303/53, 948/45, 730/15 is

GCF of Numerators i.e. for 303,948,730 is 1

LCM of denominators i.e. for 53,45,15 is 2385.

Thus, GCF of Fractions is 1/2385.Finally, GCF of Fractions for 303/53, 948/45, 730/15 is 1/2385.