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GCF of 5181/789, 3182/8583

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 5181/789, 3182/8583 i.e 1/2257329 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5181/789, 3182/8583.

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 5181/789,3182/8583?

Given fractions are 5181/789,3182/8583

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 5181/789,3182/8583, numerators are 5181,3182

Denominators are 789,8583

The GCF of 5181,3182 is 1 .

LCM of 789,8583 is 2257329.

The greatest common factor of 5181/789,3182/8583 = [GCF of 5181,3182]/[LCM of 789,8583]= 1/2257329

Therefore, the GCF of 5181/789,3182/8583 is 1/2257329.

Greatest Common Factor of 5181,3182

To find the highest common factor of 5181,3182, we have to find the factors of both numbers and list the highest common factor.

The factors of 5181 are 1, 3, 11, 33, 157, 471, 1727, 5181

The factors of 3182 are 1, 2, 37, 43, 74, 86, 1591, 3182

The HCF of 5181,3182 is 1.

Lets's calculate GCF of 5181,3182

Greatest Common Factor (GCF) of 5181,3182 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5181,3182 By Matching Biggest Common Factor Method

Greatest Common Factor of 5181,3182 By Matching Biggest Common Factor Method

Now, list down the factors of 5181

:

1,3,11,33,157,471,1727,5181

Now, list down the factors of 3182

:

1,2,37,43,74,86,1591,3182

Greatest Common Factor

We found the factors 5181,3182 . The biggest common factor number is the GCF number.
So the greatest common factor 5181,3182 is 1.


Lets's calculate LCM of 789,8583

Lowest Common Multiple of 789,8583 using Common Division

3 789, 8583
263, 2861

∴ So the LCM of the given numbers is 3 x 263 x 2861 = 2257329

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2257329

Therefore, the GCF of Fractions 5181/789,3182/8583 is 1/2257329

Least Common Multiple of 789,8583 with GCF Formula

Least Common Multiple of 789,8583 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 789,8583 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(789,8583) = 3

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

GCF(789,8583) x common factors =3 x 1 = 3

LCM(789,8583) = ( 789 × 8583 ) / 3

LCM(789,8583) = 6771987 / 3

LCM(789,8583) = 2257329


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 5181/789, 3182/8583

1. What is the HCF of 5181,3182?

The HCF of 5181,3182 is 1

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 5181/789, 3182/8583?

Answer: GCF of Numerators as per given numbers 5181/789, 3182/8583 is

GCF of Numerators i.e. for 5181,3182 is 1

LCM of denominators i.e. for 789,8583 is 2257329.

Thus, GCF of Fractions is 1/2257329.Finally, GCF of Fractions for 5181/789, 3182/8583 is 1/2257329.