Greatest Common Factor of 7293/372, 8810/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7293/372, 8810/646

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 7293/372,8810/646

Given fractions are 7293/372,8810/646

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 7293,8810

Greatest Common Factor of Numerators i.e. GCF of 7293,8810 is 1 .

LCM of Denominators means LCM of 372,646 as per the given fractions.

LCM of 372,646 is 120156 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7293,8810

GCF of Fractions 7293/372,8810/646 is 1/120156

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

Greatest Common Factor of 7293,8810 By Matching Biggest Common Factor Method

Greatest Common Factor of 7293,8810 By Matching Biggest Common Factor Method

Factors of 7293

List of positive integer factors of 7293 that divides 7293 without a remainder.

1,3,11,13,17,33,39,51,143,187,221,429,561,663,2431,7293

Factors of 8810

List of positive integer factors of 8810 that divides 8810 without a remainder.

1,2,5,10,881,1762,4405,8810

Greatest Common Factor

We found the factors 7293,8810 . The biggest common factor number is the GCF number.
So the greatest common factor 7293,8810 is 1.

Lets's calculate LCM of 372,646

2 372, 646
186, 323

∴ So the LCM of the given numbers is 2 x 186 x 323 = 120156

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/120156

Therefore, the GCF of Fractions 7293/372,8810/646 is 1/120156

Least Common Multiple of 372,646 with GCF Formula

Least Common Multiple of 372,646 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 372,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(372,646) = 2

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

GCF(372,646) x common factors =2 x 1 = 2

LCM(372,646) = ( 372 × 646 ) / 2

LCM(372,646) = 240312 / 2

LCM(372,646) = 120156


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 7293/372, 8810/646

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 7293/372, 8810/646?

Answer: GCF of Numerators as per given numbers 7293/372, 8810/646 is

GCF of Numerators i.e. for 7293,8810 is 1

LCM of denominators i.e. for 372,646 is 120156.

Thus, GCF of Fractions is 1/120156.Finally, GCF of Fractions for 7293/372, 8810/646 is 1/120156.