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GCF of 3378/588, 5241/5187

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 3378/588, 5241/5187 i.e 3/145236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3378/588, 5241/5187.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 3378/588,5241/5187?

Given fractions are 3378/588,5241/5187

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 3378/588,5241/5187, numerators are 3378,5241

Denominators are 588,5187

The GCF of 3378,5241 is 3 .

LCM of 588,5187 is 145236.

The greatest common factor of 3378/588,5241/5187 = [GCF of 3378,5241]/[LCM of 588,5187]= 3/145236

Therefore, the GCF of 3378/588,5241/5187 is 3/145236.

Greatest Common Factor of 3378,5241

To find the highest common factor of 3378,5241, we have to find the factors of both numbers and list the highest common factor.

The factors of 3378 are 1, 2, 3, 6, 563, 1126, 1689, 3378

The factors of 5241 are 1, 3, 1747, 5241

The HCF of 3378,5241 is 3.

Lets's calculate GCF of 3378,5241

Greatest Common Factor (GCF) of 3378,5241 By Common Division

3 3378, 5241
1126, 1747

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3378,5241 By Matching Biggest Common Factor Method

Greatest Common Factor of 3378,5241 By Matching Biggest Common Factor Method

Now, list down the factors of 3378

:

1,2,3,6,563,1126,1689,3378

Now, list down the factors of 5241

:

1,3,1747,5241

Greatest Common Factor

We found the factors 3378,5241 . The biggest common factor number is the GCF number.
So the greatest common factor 3378,5241 is 3.


Lets's calculate LCM of 588,5187

Lowest Common Multiple of 588,5187 using Common Division

3 588, 5187
7 196, 1729
28, 247

∴ So the LCM of the given numbers is 3 x 7 x 28 x 247 = 145236

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/145236

Therefore, the GCF of Fractions 3378/588,5241/5187 is 3/145236

Least Common Multiple of 588,5187 with GCF Formula

Least Common Multiple of 588,5187 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 588,5187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(588,5187) = 21

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

GCF(588,5187) x common factors =21 x 1 = 21

LCM(588,5187) = ( 588 × 5187 ) / 21

LCM(588,5187) = 3049956 / 21

LCM(588,5187) = 145236


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 3378/588, 5241/5187

1. What is the HCF of 3378,5241?

The HCF of 3378,5241 is 3

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 3378/588, 5241/5187?

Answer: GCF of Numerators as per given numbers 3378/588, 5241/5187 is

GCF of Numerators i.e. for 3378,5241 is 3

LCM of denominators i.e. for 588,5187 is 145236.

Thus, GCF of Fractions is 3/145236.Finally, GCF of Fractions for 3378/588, 5241/5187 is 3/145236.