Greatest Common Factor of 291/120, 1733/1281

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 291/120, 1733/1281

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 291/120,1733/1281

Given fractions are 291/120,1733/1281

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 291,1733

Greatest Common Factor of Numerators i.e. GCF of 291,1733 is 1 .

LCM of Denominators means LCM of 120,1281 as per the given fractions.

LCM of 120,1281 is 51240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 291,1733

GCF of Fractions 291/120,1733/1281 is 1/51240

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

Greatest Common Factor of 291,1733 By Matching Biggest Common Factor Method

Greatest Common Factor of 291,1733 By Matching Biggest Common Factor Method

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Factors of 1733

List of positive integer factors of 1733 that divides 1733 without a remainder.

1,1733

Greatest Common Factor

We found the factors 291,1733 . The biggest common factor number is the GCF number.
So the greatest common factor 291,1733 is 1.

Lets's calculate LCM of 120,1281

3 120, 1281
40, 427

∴ So the LCM of the given numbers is 3 x 40 x 427 = 51240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51240

Therefore, the GCF of Fractions 291/120,1733/1281 is 1/51240

Least Common Multiple of 120,1281 with GCF Formula

Least Common Multiple of 120,1281 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 120,1281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,1281) = 3

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

GCF(120,1281) x common factors =3 x 1 = 3

LCM(120,1281) = ( 120 × 1281 ) / 3

LCM(120,1281) = 153720 / 3

LCM(120,1281) = 51240


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 291/120, 1733/1281

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 291/120, 1733/1281?

Answer: GCF of Numerators as per given numbers 291/120, 1733/1281 is

GCF of Numerators i.e. for 291,1733 is 1

LCM of denominators i.e. for 120,1281 is 51240.

Thus, GCF of Fractions is 1/51240.Finally, GCF of Fractions for 291/120, 1733/1281 is 1/51240.