Greatest Common Factor of 9073/742, 7243/7282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9073/742, 7243/7282

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 9073/742,7243/7282

Given fractions are 9073/742,7243/7282

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 9073,7243

Greatest Common Factor of Numerators i.e. GCF of 9073,7243 is 1 .

LCM of Denominators means LCM of 742,7282 as per the given fractions.

LCM of 742,7282 is 2701622 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9073,7243

GCF of Fractions 9073/742,7243/7282 is 1/2701622

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

Greatest Common Factor of 9073,7243 By Matching Biggest Common Factor Method

Greatest Common Factor of 9073,7243 By Matching Biggest Common Factor Method

Factors of 9073

List of positive integer factors of 9073 that divides 9073 without a remainder.

1,43,211,9073

Factors of 7243

List of positive integer factors of 7243 that divides 7243 without a remainder.

1,7243

Greatest Common Factor

We found the factors 9073,7243 . The biggest common factor number is the GCF number.
So the greatest common factor 9073,7243 is 1.

Lets's calculate LCM of 742,7282

2 742, 7282
371, 3641

∴ So the LCM of the given numbers is 2 x 371 x 3641 = 2701622

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2701622

Therefore, the GCF of Fractions 9073/742,7243/7282 is 1/2701622

Least Common Multiple of 742,7282 with GCF Formula

Least Common Multiple of 742,7282 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 742,7282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(742,7282) = 2

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

GCF(742,7282) x common factors =2 x 1 = 2

LCM(742,7282) = ( 742 × 7282 ) / 2

LCM(742,7282) = 5403244 / 2

LCM(742,7282) = 2701622


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 9073/742, 7243/7282

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 9073/742, 7243/7282?

Answer: GCF of Numerators as per given numbers 9073/742, 7243/7282 is

GCF of Numerators i.e. for 9073,7243 is 1

LCM of denominators i.e. for 742,7282 is 2701622.

Thus, GCF of Fractions is 1/2701622.Finally, GCF of Fractions for 9073/742, 7243/7282 is 1/2701622.