Greatest Common Factor of 7846/36, 8295/493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7846/36, 8295/493

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 7846/36,8295/493

Given fractions are 7846/36,8295/493

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 7846,8295

Greatest Common Factor of Numerators i.e. GCF of 7846,8295 is 1 .

LCM of Denominators means LCM of 36,493 as per the given fractions.

LCM of 36,493 is 17748 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7846,8295

GCF of Fractions 7846/36,8295/493 is 1/17748

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

Greatest Common Factor of 7846,8295 By Matching Biggest Common Factor Method

Greatest Common Factor of 7846,8295 By Matching Biggest Common Factor Method

Factors of 7846

List of positive integer factors of 7846 that divides 7846 without a remainder.

1,2,3923,7846

Factors of 8295

List of positive integer factors of 8295 that divides 8295 without a remainder.

1,3,5,7,15,21,35,79,105,237,395,553,1185,1659,2765,8295

Greatest Common Factor

We found the factors 7846,8295 . The biggest common factor number is the GCF number.
So the greatest common factor 7846,8295 is 1.

Lets's calculate LCM of 36,493

Given numbers has no common factors except 1. So, there LCM is their product i.e 17748

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17748

Therefore, the GCF of Fractions 7846/36,8295/493 is 1/17748

Least Common Multiple of 36,493 with GCF Formula

Least Common Multiple of 36,493 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 36,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,493) = 1

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

GCF(36,493) x common factors =1 x 1 = 1

LCM(36,493) = ( 36 × 493 ) / 1

LCM(36,493) = 17748 / 1

LCM(36,493) = 17748


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 7846/36, 8295/493

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 7846/36, 8295/493?

Answer: GCF of Numerators as per given numbers 7846/36, 8295/493 is

GCF of Numerators i.e. for 7846,8295 is 1

LCM of denominators i.e. for 36,493 is 17748.

Thus, GCF of Fractions is 1/17748.Finally, GCF of Fractions for 7846/36, 8295/493 is 1/17748.