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GCF of 9/12, 46/13, 80/728, 499/363

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 9/12, 46/13, 80/728, 499/363 i.e 1/264264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9/12, 46/13, 80/728, 499/363.

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 9/12,46/13,80/728,499/363?

Given fractions are 9/12,46/13,80/728,499/363

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 9/12,46/13,80/728,499/363, numerators are 9,46,80,499

Denominators are 12,13,728,363

The GCF of 9,46,80,499 is 1 .

LCM of 12,13,728,363 is 264264.

The greatest common factor of 9/12,46/13,80/728,499/363 = [GCF of 9,46,80,499]/[LCM of 12,13,728,363]= 1/264264

Therefore, the GCF of 9/12,46/13,80/728,499/363 is 1/264264.

Greatest Common Factor of 9,46,80,499

To find the highest common factor of 9,46,80,499, we have to find the factors of both numbers and list the highest common factor.

The factors of 9 are 1, 3, 9

The factors of 46 are 1, 2, 23, 46

The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

The factors of 499 are 1, 499

The HCF of 9,46,80,499 is 1.

Lets's calculate GCF of 9,46,80,499

Greatest Common Factor (GCF) of 9,46,80,499 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9,46,80,499 By Matching Biggest Common Factor Method

Greatest Common Factor of 9,46,80,499 By Matching Biggest Common Factor Method

Now, list down the factors of 9

:

1,3,9

Now, list down the factors of 46

:

1,2,23,46

Now, list down the factors of 80

:

1,2,4,5,8,10,16,20,40,80

Now, list down the factors of 499

:

1,499

Greatest Common Factor

We found the factors 9,46,80,499 . The biggest common factor number is the GCF number.
So the greatest common factor 9,46,80,499 is 1.


Lets's calculate LCM of 12,13,728,363

Lowest Common Multiple of 12,13,728,363 using Common Division

2 12, 13, 728, 363
2 6, 13, 364, 363
3 3, 13, 182, 363
13 1, 13, 182, 121
1, 1, 14, 121

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 1 x 1 x 14 x 121 = 264264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/264264

Therefore, the GCF of Fractions 9/12,46/13,80/728,499/363 is 1/264264

Least Common Multiple of 12,13,728,363 with GCF Formula

Least Common Multiple of 12,13,728,363 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 12,13,728,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,13,728,363) = 1

common factors(in case of two or more numbers have common factors) = 156

GCF(12,13,728,363) x common factors =1 x 156 = 156

LCM(12,13,728,363) = ( 12 × 13 × 728 × 363 ) / 156

LCM(12,13,728,363) = 41225184 / 156

LCM(12,13,728,363) = 264264


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 9/12, 46/13, 80/728, 499/363

1. What is the HCF of 9,46,80,499?

The HCF of 9,46,80,499 is 1

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 9/12, 46/13, 80/728, 499/363?

Answer: GCF of Numerators as per given numbers 9/12, 46/13, 80/728, 499/363 is

GCF of Numerators i.e. for 9,46,80,499 is 1

LCM of denominators i.e. for 12,13,728,363 is 264264.

Thus, GCF of Fractions is 1/264264.Finally, GCF of Fractions for 9/12, 46/13, 80/728, 499/363 is 1/264264.