Greatest Common Factor of 791/33, 267/7129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 791/33, 267/7129

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 791/33,267/7129

Given fractions are 791/33,267/7129

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 791,267

Greatest Common Factor of Numerators i.e. GCF of 791,267 is 1 .

LCM of Denominators means LCM of 33,7129 as per the given fractions.

LCM of 33,7129 is 235257 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 791,267

GCF of Fractions 791/33,267/7129 is 1/235257

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

Greatest Common Factor of 791,267 By Matching Biggest Common Factor Method

Greatest Common Factor of 791,267 By Matching Biggest Common Factor Method

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Greatest Common Factor

We found the factors 791,267 . The biggest common factor number is the GCF number.
So the greatest common factor 791,267 is 1.


Lets's calculate LCM of 33,7129

Given numbers has no common factors except 1. So, there LCM is their product i.e 235257

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/235257

Therefore, the GCF of Fractions 791/33,267/7129 is 1/235257

Least Common Multiple of 33,7129 with GCF Formula

Least Common Multiple of 33,7129 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 33,7129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,7129) = 1

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

GCF(33,7129) x common factors =1 x 1 = 1

LCM(33,7129) = ( 33 × 7129 ) / 1

LCM(33,7129) = 235257 / 1

LCM(33,7129) = 235257


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 791/33, 267/7129

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 791/33, 267/7129?

Answer: GCF of Numerators as per given numbers 791/33, 267/7129 is

GCF of Numerators i.e. for 791,267 is 1

LCM of denominators i.e. for 33,7129 is 235257.

Thus, GCF of Fractions is 1/235257.Finally, GCF of Fractions for 791/33, 267/7129 is 1/235257.