Greatest Common Factor of 9430/890, 8515/196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9430/890, 8515/196

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 9430/890,8515/196

Given fractions are 9430/890,8515/196

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 9430,8515

Greatest Common Factor of Numerators i.e. GCF of 9430,8515 is 5 .

LCM of Denominators means LCM of 890,196 as per the given fractions.

LCM of 890,196 is 87220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9430,8515

GCF of Fractions 9430/890,8515/196 is 5/87220

5 9430, 8515
1886, 1703

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 9430,8515 By Matching Biggest Common Factor Method

Greatest Common Factor of 9430,8515 By Matching Biggest Common Factor Method

Factors of 9430

List of positive integer factors of 9430 that divides 9430 without a remainder.

1,2,5,10,23,41,46,82,115,205,230,410,943,1886,4715,9430

Factors of 8515

List of positive integer factors of 8515 that divides 8515 without a remainder.

1,5,13,65,131,655,1703,8515

Greatest Common Factor

We found the factors 9430,8515 . The biggest common factor number is the GCF number.
So the greatest common factor 9430,8515 is 5.

Lets's calculate LCM of 890,196

2 890, 196
445, 98

∴ So the LCM of the given numbers is 2 x 445 x 98 = 87220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/87220

Therefore, the GCF of Fractions 9430/890,8515/196 is 5/87220

Least Common Multiple of 890,196 with GCF Formula

Least Common Multiple of 890,196 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 890,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(890,196) = 2

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

GCF(890,196) x common factors =2 x 1 = 2

LCM(890,196) = ( 890 × 196 ) / 2

LCM(890,196) = 174440 / 2

LCM(890,196) = 87220


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 9430/890, 8515/196

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 9430/890, 8515/196?

Answer: GCF of Numerators as per given numbers 9430/890, 8515/196 is

GCF of Numerators i.e. for 9430,8515 is 5

LCM of denominators i.e. for 890,196 is 87220.

Thus, GCF of Fractions is 5/87220.Finally, GCF of Fractions for 9430/890, 8515/196 is 5/87220.