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GCF of 801/62, 729/688

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 801/62, 729/688 i.e 9/21328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 801/62, 729/688.

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 801/62,729/688?

Given fractions are 801/62,729/688

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 801/62,729/688, numerators are 801,729

Denominators are 62,688

The GCF of 801,729 is 9 .

LCM of 62,688 is 21328.

The greatest common factor of 801/62,729/688 = [GCF of 801,729]/[LCM of 62,688]= 9/21328

Therefore, the GCF of 801/62,729/688 is 9/21328.

Greatest Common Factor of 801,729

To find the highest common factor of 801,729, we have to find the factors of both numbers and list the highest common factor.

The factors of 801 are 1, 3, 9, 89, 267, 801

The factors of 729 are 1, 3, 9, 27, 81, 243, 729

The HCF of 801,729 is 9.

Lets's calculate GCF of 801,729

Greatest Common Factor (GCF) of 801,729 By Common Division

3 801, 729
3 267, 243
89, 81

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 801,729 By Matching Biggest Common Factor Method

Greatest Common Factor of 801,729 By Matching Biggest Common Factor Method

Now, list down the factors of 801

:

1,3,9,89,267,801

Now, list down the factors of 729

:

1,3,9,27,81,243,729

Greatest Common Factor

We found the factors 801,729 . The biggest common factor number is the GCF number.
So the greatest common factor 801,729 is 9.


Lets's calculate LCM of 62,688

Lowest Common Multiple of 62,688 using Common Division

2 62, 688
31, 344

∴ So the LCM of the given numbers is 2 x 31 x 344 = 21328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/21328

Therefore, the GCF of Fractions 801/62,729/688 is 9/21328

Least Common Multiple of 62,688 with GCF Formula

Least Common Multiple of 62,688 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 62,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,688) = 2

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

GCF(62,688) x common factors =2 x 1 = 2

LCM(62,688) = ( 62 × 688 ) / 2

LCM(62,688) = 42656 / 2

LCM(62,688) = 21328


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 801/62, 729/688

1. What is the HCF of 801,729?

The HCF of 801,729 is 9

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 801/62, 729/688?

Answer: GCF of Numerators as per given numbers 801/62, 729/688 is

GCF of Numerators i.e. for 801,729 is 9

LCM of denominators i.e. for 62,688 is 21328.

Thus, GCF of Fractions is 9/21328.Finally, GCF of Fractions for 801/62, 729/688 is 9/21328.