Greatest Common Factor of 147/98, 105/2496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 147/98, 105/2496

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 147/98,105/2496

Given fractions are 147/98,105/2496

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 147,105

Greatest Common Factor of Numerators i.e. GCF of 147,105 is 21 .

LCM of Denominators means LCM of 98,2496 as per the given fractions.

LCM of 98,2496 is 122304 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 147,105

GCF of Fractions 147/98,105/2496 is 21/122304

3 147, 105
7 49, 35
7, 5

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 147,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 147,105 By Matching Biggest Common Factor Method

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 147,105 . The biggest common factor number is the GCF number.
So the greatest common factor 147,105 is 21.

Lets's calculate LCM of 98,2496

2 98, 2496
49, 1248

∴ So the LCM of the given numbers is 2 x 49 x 1248 = 122304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/122304

Therefore, the GCF of Fractions 147/98,105/2496 is 21/122304

Least Common Multiple of 98,2496 with GCF Formula

Least Common Multiple of 98,2496 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 98,2496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,2496) = 2

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

GCF(98,2496) x common factors =2 x 1 = 2

LCM(98,2496) = ( 98 × 2496 ) / 2

LCM(98,2496) = 244608 / 2

LCM(98,2496) = 122304


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 147/98, 105/2496

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 147/98, 105/2496?

Answer: GCF of Numerators as per given numbers 147/98, 105/2496 is

GCF of Numerators i.e. for 147,105 is 21

LCM of denominators i.e. for 98,2496 is 122304.

Thus, GCF of Fractions is 21/122304.Finally, GCF of Fractions for 147/98, 105/2496 is 21/122304.