Greatest Common Factor of 1303/291, 1536/275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1303/291, 1536/275

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 1303/291,1536/275

Given fractions are 1303/291,1536/275

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 1303,1536

Greatest Common Factor of Numerators i.e. GCF of 1303,1536 is 1 .

LCM of Denominators means LCM of 291,275 as per the given fractions.

LCM of 291,275 is 80025 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1303,1536

GCF of Fractions 1303/291,1536/275 is 1/80025

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

Greatest Common Factor of 1303,1536 By Matching Biggest Common Factor Method

Greatest Common Factor of 1303,1536 By Matching Biggest Common Factor Method

Factors of 1303

List of positive integer factors of 1303 that divides 1303 without a remainder.

1,1303

Factors of 1536

List of positive integer factors of 1536 that divides 1536 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,512,768,1536

Greatest Common Factor

We found the factors 1303,1536 . The biggest common factor number is the GCF number.
So the greatest common factor 1303,1536 is 1.

Lets's calculate LCM of 291,275

Given numbers has no common factors except 1. So, there LCM is their product i.e 80025

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80025

Therefore, the GCF of Fractions 1303/291,1536/275 is 1/80025

Least Common Multiple of 291,275 with GCF Formula

Least Common Multiple of 291,275 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 291,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(291,275) = 1

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

GCF(291,275) x common factors =1 x 1 = 1

LCM(291,275) = ( 291 × 275 ) / 1

LCM(291,275) = 80025 / 1

LCM(291,275) = 80025


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 1303/291, 1536/275

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 1303/291, 1536/275?

Answer: GCF of Numerators as per given numbers 1303/291, 1536/275 is

GCF of Numerators i.e. for 1303,1536 is 1

LCM of denominators i.e. for 291,275 is 80025.

Thus, GCF of Fractions is 1/80025.Finally, GCF of Fractions for 1303/291, 1536/275 is 1/80025.