Greatest Common Factor of 1503/30, 9331/718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1503/30, 9331/718

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 1503/30,9331/718

Given fractions are 1503/30,9331/718

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 1503,9331

Greatest Common Factor of Numerators i.e. GCF of 1503,9331 is 1 .

LCM of Denominators means LCM of 30,718 as per the given fractions.

LCM of 30,718 is 10770 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1503,9331

GCF of Fractions 1503/30,9331/718 is 1/10770

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

Greatest Common Factor of 1503,9331 By Matching Biggest Common Factor Method

Greatest Common Factor of 1503,9331 By Matching Biggest Common Factor Method

Factors of 1503

List of positive integer factors of 1503 that divides 1503 without a remainder.

1,3,9,167,501,1503

Factors of 9331

List of positive integer factors of 9331 that divides 9331 without a remainder.

1,7,31,43,217,301,1333,9331

Greatest Common Factor

We found the factors 1503,9331 . The biggest common factor number is the GCF number.
So the greatest common factor 1503,9331 is 1.

Lets's calculate LCM of 30,718

2 30, 718
15, 359

∴ So the LCM of the given numbers is 2 x 15 x 359 = 10770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10770

Therefore, the GCF of Fractions 1503/30,9331/718 is 1/10770

Least Common Multiple of 30,718 with GCF Formula

Least Common Multiple of 30,718 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 30,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,718) = 2

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

GCF(30,718) x common factors =2 x 1 = 2

LCM(30,718) = ( 30 × 718 ) / 2

LCM(30,718) = 21540 / 2

LCM(30,718) = 10770


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 1503/30, 9331/718

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 1503/30, 9331/718?

Answer: GCF of Numerators as per given numbers 1503/30, 9331/718 is

GCF of Numerators i.e. for 1503,9331 is 1

LCM of denominators i.e. for 30,718 is 10770.

Thus, GCF of Fractions is 1/10770.Finally, GCF of Fractions for 1503/30, 9331/718 is 1/10770.