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GCF of 81/343, 6423/9537

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 81/343, 6423/9537 i.e 3/3271191 easily. The following is the detailed procedure to determine the greatest common factor of fractions 81/343, 6423/9537.

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 81/343,6423/9537?

Given fractions are 81/343,6423/9537

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 81/343,6423/9537, numerators are 81,6423

Denominators are 343,9537

The GCF of 81,6423 is 3 .

LCM of 343,9537 is 3271191.

The greatest common factor of 81/343,6423/9537 = [GCF of 81,6423]/[LCM of 343,9537]= 3/3271191

Therefore, the GCF of 81/343,6423/9537 is 3/3271191.

Greatest Common Factor of 81,6423

To find the highest common factor of 81,6423, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 6423 are 1, 3, 2141, 6423

The HCF of 81,6423 is 3.

Lets's calculate GCF of 81,6423

Greatest Common Factor (GCF) of 81,6423 By Common Division

3 81, 6423
27, 2141

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

Greatest Common Factor of 81,6423 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,6423 By Matching Biggest Common Factor Method

Now, list down the factors of 81

:

1,3,9,27,81

Now, list down the factors of 6423

:

1,3,2141,6423

Greatest Common Factor

We found the factors 81,6423 . The biggest common factor number is the GCF number.
So the greatest common factor 81,6423 is 3.


Lets's calculate LCM of 343,9537

Lowest Common Multiple of 343,9537 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3271191

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3271191

Therefore, the GCF of Fractions 81/343,6423/9537 is 3/3271191

Least Common Multiple of 343,9537 with GCF Formula

Least Common Multiple of 343,9537 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 343,9537 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(343,9537) = 1

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

GCF(343,9537) x common factors =1 x 1 = 1

LCM(343,9537) = ( 343 × 9537 ) / 1

LCM(343,9537) = 3271191 / 1

LCM(343,9537) = 3271191


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 81/343, 6423/9537

1. What is the HCF of 81,6423?

The HCF of 81,6423 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 81/343, 6423/9537?

Answer: GCF of Numerators as per given numbers 81/343, 6423/9537 is

GCF of Numerators i.e. for 81,6423 is 3

LCM of denominators i.e. for 343,9537 is 3271191.

Thus, GCF of Fractions is 3/3271191.Finally, GCF of Fractions for 81/343, 6423/9537 is 3/3271191.