Greatest Common Factor of 7301/434, 9154/773

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7301/434, 9154/773

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 7301/434,9154/773

Given fractions are 7301/434,9154/773

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 7301,9154

Greatest Common Factor of Numerators i.e. GCF of 7301,9154 is 1 .

LCM of Denominators means LCM of 434,773 as per the given fractions.

LCM of 434,773 is 335482 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7301,9154

GCF of Fractions 7301/434,9154/773 is 1/335482

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

Greatest Common Factor of 7301,9154 By Matching Biggest Common Factor Method

Greatest Common Factor of 7301,9154 By Matching Biggest Common Factor Method

Factors of 7301

List of positive integer factors of 7301 that divides 7301 without a remainder.

1,7,49,149,1043,7301

Factors of 9154

List of positive integer factors of 9154 that divides 9154 without a remainder.

1,2,23,46,199,398,4577,9154

Greatest Common Factor

We found the factors 7301,9154 . The biggest common factor number is the GCF number.
So the greatest common factor 7301,9154 is 1.

Lets's calculate LCM of 434,773

Given numbers has no common factors except 1. So, there LCM is their product i.e 335482

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/335482

Therefore, the GCF of Fractions 7301/434,9154/773 is 1/335482

Least Common Multiple of 434,773 with GCF Formula

Least Common Multiple of 434,773 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 434,773 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(434,773) = 1

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

GCF(434,773) x common factors =1 x 1 = 1

LCM(434,773) = ( 434 × 773 ) / 1

LCM(434,773) = 335482 / 1

LCM(434,773) = 335482


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 7301/434, 9154/773

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 7301/434, 9154/773?

Answer: GCF of Numerators as per given numbers 7301/434, 9154/773 is

GCF of Numerators i.e. for 7301,9154 is 1

LCM of denominators i.e. for 434,773 is 335482.

Thus, GCF of Fractions is 1/335482.Finally, GCF of Fractions for 7301/434, 9154/773 is 1/335482.