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GCF of 729/632, 324/856

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 729/632, 324/856 i.e 81/67624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 729/632, 324/856.

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 729/632,324/856?

Given fractions are 729/632,324/856

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 729/632,324/856, numerators are 729,324

Denominators are 632,856

The GCF of 729,324 is 81 .

LCM of 632,856 is 67624.

The greatest common factor of 729/632,324/856 = [GCF of 729,324]/[LCM of 632,856]= 81/67624

Therefore, the GCF of 729/632,324/856 is 81/67624.

Greatest Common Factor of 729,324

To find the highest common factor of 729,324, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 324 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

The HCF of 729,324 is 81.

Lets's calculate GCF of 729,324

Greatest Common Factor (GCF) of 729,324 By Common Division

3 729, 324
3 243, 108
3 81, 36
3 27, 12
9, 4

∴ So the GCF of the given numbers is 3 x 3 x 3 x 3 = 81

Greatest Common Factor of 729,324 By Matching Biggest Common Factor Method

Greatest Common Factor of 729,324 By Matching Biggest Common Factor Method

Now, list down the factors of 729

:

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

Now, list down the factors of 324

:

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Greatest Common Factor

We found the factors 729,324 . The biggest common factor number is the GCF number.
So the greatest common factor 729,324 is 81.


Lets's calculate LCM of 632,856

Lowest Common Multiple of 632,856 using Common Division

2 632, 856
2 316, 428
2 158, 214
79, 107

∴ So the LCM of the given numbers is 2 x 2 x 2 x 79 x 107 = 67624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 81/67624

Therefore, the GCF of Fractions 729/632,324/856 is 81/67624

Least Common Multiple of 632,856 with GCF Formula

Least Common Multiple of 632,856 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 632,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(632,856) = 8

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

GCF(632,856) x common factors =8 x 1 = 8

LCM(632,856) = ( 632 × 856 ) / 8

LCM(632,856) = 540992 / 8

LCM(632,856) = 67624


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 729/632, 324/856

1. What is the HCF of 729,324?

The HCF of 729,324 is 81

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 729/632, 324/856?

Answer: GCF of Numerators as per given numbers 729/632, 324/856 is

GCF of Numerators i.e. for 729,324 is 81

LCM of denominators i.e. for 632,856 is 67624.

Thus, GCF of Fractions is 81/67624.Finally, GCF of Fractions for 729/632, 324/856 is 81/67624.