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GCF of 681/171, 9663/891

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 681/171, 9663/891 i.e 3/16929 easily. The following is the detailed procedure to determine the greatest common factor of fractions 681/171, 9663/891.

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 681/171,9663/891?

Given fractions are 681/171,9663/891

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 681/171,9663/891, numerators are 681,9663

Denominators are 171,891

The GCF of 681,9663 is 3 .

LCM of 171,891 is 16929.

The greatest common factor of 681/171,9663/891 = [GCF of 681,9663]/[LCM of 171,891]= 3/16929

Therefore, the GCF of 681/171,9663/891 is 3/16929.

Greatest Common Factor of 681,9663

To find the highest common factor of 681,9663, we have to find the factors of both numbers and list the highest common factor.

The factors of 681 are 1, 3, 227, 681

The factors of 9663 are 1, 3, 3221, 9663

The HCF of 681,9663 is 3.

Lets's calculate GCF of 681,9663

Greatest Common Factor (GCF) of 681,9663 By Common Division

3 681, 9663
227, 3221

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

Greatest Common Factor of 681,9663 By Matching Biggest Common Factor Method

Greatest Common Factor of 681,9663 By Matching Biggest Common Factor Method

Now, list down the factors of 681

:

1,3,227,681

Now, list down the factors of 9663

:

1,3,3221,9663

Greatest Common Factor

We found the factors 681,9663 . The biggest common factor number is the GCF number.
So the greatest common factor 681,9663 is 3.


Lets's calculate LCM of 171,891

Lowest Common Multiple of 171,891 using Common Division

3 171, 891
3 57, 297
19, 99

∴ So the LCM of the given numbers is 3 x 3 x 19 x 99 = 16929

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/16929

Therefore, the GCF of Fractions 681/171,9663/891 is 3/16929

Least Common Multiple of 171,891 with GCF Formula

Least Common Multiple of 171,891 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 171,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,891) = 9

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

GCF(171,891) x common factors =9 x 1 = 9

LCM(171,891) = ( 171 × 891 ) / 9

LCM(171,891) = 152361 / 9

LCM(171,891) = 16929


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 681/171, 9663/891

1. What is the HCF of 681,9663?

The HCF of 681,9663 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 681/171, 9663/891?

Answer: GCF of Numerators as per given numbers 681/171, 9663/891 is

GCF of Numerators i.e. for 681,9663 is 3

LCM of denominators i.e. for 171,891 is 16929.

Thus, GCF of Fractions is 3/16929.Finally, GCF of Fractions for 681/171, 9663/891 is 3/16929.