Greatest Common Factor of 5239/98, 3120/205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5239/98, 3120/205

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 5239/98,3120/205

Given fractions are 5239/98,3120/205

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 5239,3120

Greatest Common Factor of Numerators i.e. GCF of 5239,3120 is 13 .

LCM of Denominators means LCM of 98,205 as per the given fractions.

LCM of 98,205 is 20090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5239,3120

GCF of Fractions 5239/98,3120/205 is 13/20090

13 5239, 3120
403, 240

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 5239,3120 By Matching Biggest Common Factor Method

Greatest Common Factor of 5239,3120 By Matching Biggest Common Factor Method

Factors of 5239

List of positive integer factors of 5239 that divides 5239 without a remainder.

1,13,31,169,403,5239

Factors of 3120

List of positive integer factors of 3120 that divides 3120 without a remainder.

1,2,3,4,5,6,8,10,12,13,15,16,20,24,26,30,39,40,48,52,60,65,78,80,104,120,130,156,195,208,240,260,312,390,520,624,780,1040,1560,3120

Greatest Common Factor

We found the factors 5239,3120 . The biggest common factor number is the GCF number.
So the greatest common factor 5239,3120 is 13.

Lets's calculate LCM of 98,205

Given numbers has no common factors except 1. So, there LCM is their product i.e 20090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/20090

Therefore, the GCF of Fractions 5239/98,3120/205 is 13/20090

Least Common Multiple of 98,205 with GCF Formula

Least Common Multiple of 98,205 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 98,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,205) = 1

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

GCF(98,205) x common factors =1 x 1 = 1

LCM(98,205) = ( 98 × 205 ) / 1

LCM(98,205) = 20090 / 1

LCM(98,205) = 20090


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 5239/98, 3120/205

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 5239/98, 3120/205?

Answer: GCF of Numerators as per given numbers 5239/98, 3120/205 is

GCF of Numerators i.e. for 5239,3120 is 13

LCM of denominators i.e. for 98,205 is 20090.

Thus, GCF of Fractions is 13/20090.Finally, GCF of Fractions for 5239/98, 3120/205 is 13/20090.