Greatest Common Factor of 9386/245, 6266/1073

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9386/245, 6266/1073

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 9386/245,6266/1073

Given fractions are 9386/245,6266/1073

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 9386,6266

Greatest Common Factor of Numerators i.e. GCF of 9386,6266 is 26 .

LCM of Denominators means LCM of 245,1073 as per the given fractions.

LCM of 245,1073 is 262885 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9386,6266

GCF of Fractions 9386/245,6266/1073 is 26/262885

2 9386, 6266
13 4693, 3133
361, 241

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 9386,6266 By Matching Biggest Common Factor Method

Greatest Common Factor of 9386,6266 By Matching Biggest Common Factor Method

Factors of 9386

List of positive integer factors of 9386 that divides 9386 without a remainder.

1,2,13,19,26,38,247,361,494,722,4693,9386

Factors of 6266

List of positive integer factors of 6266 that divides 6266 without a remainder.

1,2,13,26,241,482,3133,6266

Greatest Common Factor

We found the factors 9386,6266 . The biggest common factor number is the GCF number.
So the greatest common factor 9386,6266 is 26.

Lets's calculate LCM of 245,1073

Given numbers has no common factors except 1. So, there LCM is their product i.e 262885

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/262885

Therefore, the GCF of Fractions 9386/245,6266/1073 is 26/262885

Least Common Multiple of 245,1073 with GCF Formula

Least Common Multiple of 245,1073 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 245,1073 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(245,1073) = 1

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

GCF(245,1073) x common factors =1 x 1 = 1

LCM(245,1073) = ( 245 × 1073 ) / 1

LCM(245,1073) = 262885 / 1

LCM(245,1073) = 262885


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 9386/245, 6266/1073

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 9386/245, 6266/1073?

Answer: GCF of Numerators as per given numbers 9386/245, 6266/1073 is

GCF of Numerators i.e. for 9386,6266 is 26

LCM of denominators i.e. for 245,1073 is 262885.

Thus, GCF of Fractions is 26/262885.Finally, GCF of Fractions for 9386/245, 6266/1073 is 26/262885.