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GCF of 130/81, 663/747

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 130/81, 663/747 i.e 13/6723 easily. The following is the detailed procedure to determine the greatest common factor of fractions 130/81, 663/747.

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 130/81,663/747?

Given fractions are 130/81,663/747

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 130/81,663/747, numerators are 130,663

Denominators are 81,747

The GCF of 130,663 is 13 .

LCM of 81,747 is 6723.

The greatest common factor of 130/81,663/747 = [GCF of 130,663]/[LCM of 81,747]= 13/6723

Therefore, the GCF of 130/81,663/747 is 13/6723.

Greatest Common Factor of 130,663

To find the highest common factor of 130,663, we have to find the factors of both numbers and list the highest common factor.

The factors of 130 are 1, 2, 5, 10, 13, 26, 65, 130

The factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663

The HCF of 130,663 is 13.

Lets's calculate GCF of 130,663

Greatest Common Factor (GCF) of 130,663 By Common Division

13 130, 663
10, 51

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 130,663 By Matching Biggest Common Factor Method

Greatest Common Factor of 130,663 By Matching Biggest Common Factor Method

Now, list down the factors of 130

:

1,2,5,10,13,26,65,130

Now, list down the factors of 663

:

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors 130,663 . The biggest common factor number is the GCF number.
So the greatest common factor 130,663 is 13.

Lets's calculate LCM of 81,747

Lowest Common Multiple of 81,747 using Common Division

3 81, 747
3 27, 249
9, 83

∴ So the LCM of the given numbers is 3 x 3 x 9 x 83 = 6723

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/6723

Therefore, the GCF of Fractions 130/81,663/747 is 13/6723

Least Common Multiple of 81,747 with GCF Formula

Least Common Multiple of 81,747 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 81,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,747) = 9

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

GCF(81,747) x common factors =9 x 1 = 9

LCM(81,747) = ( 81 × 747 ) / 9

LCM(81,747) = 60507 / 9

LCM(81,747) = 6723


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FAQs on GCF of Fractions of 130/81, 663/747

1. What is the HCF of 130,663?

The HCF of 130,663 is 13

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 130/81, 663/747?

Answer: GCF of Numerators as per given numbers 130/81, 663/747 is

GCF of Numerators i.e. for 130,663 is 13

LCM of denominators i.e. for 81,747 is 6723.

Thus, GCF of Fractions is 13/6723.Finally, GCF of Fractions for 130/81, 663/747 is 13/6723.