Greatest Common Factor of 36/76, 99/86, 348/496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 36/76, 99/86, 348/496

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 36/76,99/86,348/496

Given fractions are 36/76,99/86,348/496

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 36,99,348

Greatest Common Factor of Numerators i.e. GCF of 36,99,348 is 3 .

LCM of Denominators means LCM of 76,86,496 as per the given fractions.

LCM of 76,86,496 is 405232 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 36,99,348

GCF of Fractions 36/76,99/86,348/496 is 3/405232

3 36, 99, 348
12, 33, 116

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

Greatest Common Factor of 36,99,348 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,99,348 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Greatest Common Factor

We found the factors 36,99,348 . The biggest common factor number is the GCF number.
So the greatest common factor 36,99,348 is 3.

Lets's calculate LCM of 76,86,496

2 76, 86, 496
2 38, 43, 248
19, 43, 124

∴ So the LCM of the given numbers is 2 x 2 x 19 x 43 x 124 = 405232

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/405232

Therefore, the GCF of Fractions 36/76,99/86,348/496 is 3/405232

Least Common Multiple of 76,86,496 with GCF Formula

Least Common Multiple of 76,86,496 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 76,86,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,86,496) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(76,86,496) x common factors =2 x 4 = 8

LCM(76,86,496) = ( 76 × 86 × 496 ) / 8

LCM(76,86,496) = 3241856 / 8

LCM(76,86,496) = 405232


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 36/76, 99/86, 348/496

1. 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.

2. What is the GCF of Fractions for 36/76, 99/86, 348/496?

Answer: GCF of Numerators as per given numbers 36/76, 99/86, 348/496 is

GCF of Numerators i.e. for 36,99,348 is 3

LCM of denominators i.e. for 76,86,496 is 405232.

Thus, GCF of Fractions is 3/405232.Finally, GCF of Fractions for 36/76, 99/86, 348/496 is 3/405232.