Greatest Common Factor of 1317/45, 5821/348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1317/45, 5821/348

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 1317/45,5821/348

Given fractions are 1317/45,5821/348

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 1317,5821

Greatest Common Factor of Numerators i.e. GCF of 1317,5821 is 1 .

LCM of Denominators means LCM of 45,348 as per the given fractions.

LCM of 45,348 is 5220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1317,5821

GCF of Fractions 1317/45,5821/348 is 1/5220

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

Greatest Common Factor of 1317,5821 By Matching Biggest Common Factor Method

Greatest Common Factor of 1317,5821 By Matching Biggest Common Factor Method

Factors of 1317

List of positive integer factors of 1317 that divides 1317 without a remainder.

1,3,439,1317

Factors of 5821

List of positive integer factors of 5821 that divides 5821 without a remainder.

1,5821

Greatest Common Factor

We found the factors 1317,5821 . The biggest common factor number is the GCF number.
So the greatest common factor 1317,5821 is 1.

Lets's calculate LCM of 45,348

3 45, 348
15, 116

∴ So the LCM of the given numbers is 3 x 15 x 116 = 5220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5220

Therefore, the GCF of Fractions 1317/45,5821/348 is 1/5220

Least Common Multiple of 45,348 with GCF Formula

Least Common Multiple of 45,348 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 45,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,348) = 3

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

GCF(45,348) x common factors =3 x 1 = 3

LCM(45,348) = ( 45 × 348 ) / 3

LCM(45,348) = 15660 / 3

LCM(45,348) = 5220


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 1317/45, 5821/348

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 1317/45, 5821/348?

Answer: GCF of Numerators as per given numbers 1317/45, 5821/348 is

GCF of Numerators i.e. for 1317,5821 is 1

LCM of denominators i.e. for 45,348 is 5220.

Thus, GCF of Fractions is 1/5220.Finally, GCF of Fractions for 1317/45, 5821/348 is 1/5220.