Greatest Common Factor of 9800/335, 8230/5959

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9800/335, 8230/5959

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 9800/335,8230/5959

Given fractions are 9800/335,8230/5959

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 9800,8230

Greatest Common Factor of Numerators i.e. GCF of 9800,8230 is 10 .

LCM of Denominators means LCM of 335,5959 as per the given fractions.

LCM of 335,5959 is 1996265 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9800,8230

GCF of Fractions 9800/335,8230/5959 is 10/1996265

2 9800, 8230
5 4900, 4115
980, 823

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 9800,8230 By Matching Biggest Common Factor Method

Greatest Common Factor of 9800,8230 By Matching Biggest Common Factor Method

Factors of 9800

List of positive integer factors of 9800 that divides 9800 without a remainder.

1,2,4,5,7,8,10,14,20,25,28,35,40,49,50,56,70,98,100,140,175,196,200,245,280,350,392,490,700,980,1225,1400,1960,2450,4900,9800

Factors of 8230

List of positive integer factors of 8230 that divides 8230 without a remainder.

1,2,5,10,823,1646,4115,8230

Greatest Common Factor

We found the factors 9800,8230 . The biggest common factor number is the GCF number.
So the greatest common factor 9800,8230 is 10.

Lets's calculate LCM of 335,5959

Given numbers has no common factors except 1. So, there LCM is their product i.e 1996265

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1996265

Therefore, the GCF of Fractions 9800/335,8230/5959 is 10/1996265

Least Common Multiple of 335,5959 with GCF Formula

Least Common Multiple of 335,5959 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 335,5959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(335,5959) = 1

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

GCF(335,5959) x common factors =1 x 1 = 1

LCM(335,5959) = ( 335 × 5959 ) / 1

LCM(335,5959) = 1996265 / 1

LCM(335,5959) = 1996265


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 9800/335, 8230/5959

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 9800/335, 8230/5959?

Answer: GCF of Numerators as per given numbers 9800/335, 8230/5959 is

GCF of Numerators i.e. for 9800,8230 is 10

LCM of denominators i.e. for 335,5959 is 1996265.

Thus, GCF of Fractions is 10/1996265.Finally, GCF of Fractions for 9800/335, 8230/5959 is 10/1996265.