Greatest Common Factor of 1322/802, 7353/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1322/802, 7353/242

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 1322/802,7353/242

Given fractions are 1322/802,7353/242

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 1322,7353

Greatest Common Factor of Numerators i.e. GCF of 1322,7353 is 1 .

LCM of Denominators means LCM of 802,242 as per the given fractions.

LCM of 802,242 is 97042 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1322,7353

GCF of Fractions 1322/802,7353/242 is 1/97042

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

Greatest Common Factor of 1322,7353 By Matching Biggest Common Factor Method

Greatest Common Factor of 1322,7353 By Matching Biggest Common Factor Method

Factors of 1322

List of positive integer factors of 1322 that divides 1322 without a remainder.

1,2,661,1322

Factors of 7353

List of positive integer factors of 7353 that divides 7353 without a remainder.

1,3,9,19,43,57,129,171,387,817,2451,7353

Greatest Common Factor

We found the factors 1322,7353 . The biggest common factor number is the GCF number.
So the greatest common factor 1322,7353 is 1.

Lets's calculate LCM of 802,242

2 802, 242
401, 121

∴ So the LCM of the given numbers is 2 x 401 x 121 = 97042

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/97042

Therefore, the GCF of Fractions 1322/802,7353/242 is 1/97042

Least Common Multiple of 802,242 with GCF Formula

Least Common Multiple of 802,242 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 802,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,242) = 2

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

GCF(802,242) x common factors =2 x 1 = 2

LCM(802,242) = ( 802 × 242 ) / 2

LCM(802,242) = 194084 / 2

LCM(802,242) = 97042


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 1322/802, 7353/242

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 1322/802, 7353/242?

Answer: GCF of Numerators as per given numbers 1322/802, 7353/242 is

GCF of Numerators i.e. for 1322,7353 is 1

LCM of denominators i.e. for 802,242 is 97042.

Thus, GCF of Fractions is 1/97042.Finally, GCF of Fractions for 1322/802, 7353/242 is 1/97042.