Greatest Common Factor of 98/281, 5208/3363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 98/281, 5208/3363

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 98/281,5208/3363

Given fractions are 98/281,5208/3363

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 98,5208

Greatest Common Factor of Numerators i.e. GCF of 98,5208 is 14 .

LCM of Denominators means LCM of 281,3363 as per the given fractions.

LCM of 281,3363 is 945003 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 98,5208

GCF of Fractions 98/281,5208/3363 is 14/945003

2 98, 5208
7 49, 2604
7, 372

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 98,5208 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,5208 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 5208

List of positive integer factors of 5208 that divides 5208 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,31,42,56,62,84,93,124,168,186,217,248,372,434,651,744,868,1302,1736,2604,5208

Greatest Common Factor

We found the factors 98,5208 . The biggest common factor number is the GCF number.
So the greatest common factor 98,5208 is 14.

Lets's calculate LCM of 281,3363

Given numbers has no common factors except 1. So, there LCM is their product i.e 945003

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/945003

Therefore, the GCF of Fractions 98/281,5208/3363 is 14/945003

Least Common Multiple of 281,3363 with GCF Formula

Least Common Multiple of 281,3363 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 281,3363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(281,3363) = 1

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

GCF(281,3363) x common factors =1 x 1 = 1

LCM(281,3363) = ( 281 × 3363 ) / 1

LCM(281,3363) = 945003 / 1

LCM(281,3363) = 945003


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 98/281, 5208/3363

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 98/281, 5208/3363?

Answer: GCF of Numerators as per given numbers 98/281, 5208/3363 is

GCF of Numerators i.e. for 98,5208 is 14

LCM of denominators i.e. for 281,3363 is 945003.

Thus, GCF of Fractions is 14/945003.Finally, GCF of Fractions for 98/281, 5208/3363 is 14/945003.