Greatest Common Factor of 9033/958, 7271/736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9033/958, 7271/736

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 9033/958,7271/736

Given fractions are 9033/958,7271/736

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 9033,7271

Greatest Common Factor of Numerators i.e. GCF of 9033,7271 is 1 .

LCM of Denominators means LCM of 958,736 as per the given fractions.

LCM of 958,736 is 352544 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9033,7271

GCF of Fractions 9033/958,7271/736 is 1/352544

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

Greatest Common Factor of 9033,7271 By Matching Biggest Common Factor Method

Greatest Common Factor of 9033,7271 By Matching Biggest Common Factor Method

Factors of 9033

List of positive integer factors of 9033 that divides 9033 without a remainder.

1,3,3011,9033

Factors of 7271

List of positive integer factors of 7271 that divides 7271 without a remainder.

1,11,661,7271

Greatest Common Factor

We found the factors 9033,7271 . The biggest common factor number is the GCF number.
So the greatest common factor 9033,7271 is 1.

Lets's calculate LCM of 958,736

2 958, 736
479, 368

∴ So the LCM of the given numbers is 2 x 479 x 368 = 352544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/352544

Therefore, the GCF of Fractions 9033/958,7271/736 is 1/352544

Least Common Multiple of 958,736 with GCF Formula

Least Common Multiple of 958,736 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 958,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(958,736) = 2

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

GCF(958,736) x common factors =2 x 1 = 2

LCM(958,736) = ( 958 × 736 ) / 2

LCM(958,736) = 705088 / 2

LCM(958,736) = 352544


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 9033/958, 7271/736

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 9033/958, 7271/736?

Answer: GCF of Numerators as per given numbers 9033/958, 7271/736 is

GCF of Numerators i.e. for 9033,7271 is 1

LCM of denominators i.e. for 958,736 is 352544.

Thus, GCF of Fractions is 1/352544.Finally, GCF of Fractions for 9033/958, 7271/736 is 1/352544.