Greatest Common Factor of 98/33, 52/146, 588/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 98/33, 52/146, 588/561

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 98/33,52/146,588/561

Given fractions are 98/33,52/146,588/561

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 98,52,588

Greatest Common Factor of Numerators i.e. GCF of 98,52,588 is 2 .

LCM of Denominators means LCM of 33,146,561 as per the given fractions.

LCM of 33,146,561 is 81906 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 98,52,588

GCF of Fractions 98/33,52/146,588/561 is 2/81906

2 98, 52, 588
49, 26, 294

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 98,52,588 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,52,588 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 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Greatest Common Factor

We found the factors 98,52,588 . The biggest common factor number is the GCF number.
So the greatest common factor 98,52,588 is 2.

Lets's calculate LCM of 33,146,561

3 33, 146, 561
11 11, 146, 187
1, 146, 17

∴ So the LCM of the given numbers is 3 x 11 x 1 x 146 x 17 = 81906

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/81906

Therefore, the GCF of Fractions 98/33,52/146,588/561 is 2/81906

Least Common Multiple of 33,146,561 with GCF Formula

Least Common Multiple of 33,146,561 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 33,146,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,146,561) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(33,146,561) x common factors =1 x 33 = 33

LCM(33,146,561) = ( 33 × 146 × 561 ) / 33

LCM(33,146,561) = 2702898 / 33

LCM(33,146,561) = 81906


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 98/33, 52/146, 588/561

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 98/33, 52/146, 588/561?

Answer: GCF of Numerators as per given numbers 98/33, 52/146, 588/561 is

GCF of Numerators i.e. for 98,52,588 is 2

LCM of denominators i.e. for 33,146,561 is 81906.

Thus, GCF of Fractions is 2/81906.Finally, GCF of Fractions for 98/33, 52/146, 588/561 is 2/81906.