Greatest Common Factor of 1184/12, 9036/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1184/12, 9036/420

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 1184/12,9036/420

Given fractions are 1184/12,9036/420

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 1184,9036

Greatest Common Factor of Numerators i.e. GCF of 1184,9036 is 4 .

LCM of Denominators means LCM of 12,420 as per the given fractions.

LCM of 12,420 is 420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1184,9036

GCF of Fractions 1184/12,9036/420 is 4/420

2 1184, 9036
2 592, 4518
296, 2259

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1184,9036 By Matching Biggest Common Factor Method

Greatest Common Factor of 1184,9036 By Matching Biggest Common Factor Method

Factors of 1184

List of positive integer factors of 1184 that divides 1184 without a remainder.

1,2,4,8,16,32,37,74,148,296,592,1184

Factors of 9036

List of positive integer factors of 9036 that divides 9036 without a remainder.

1,2,3,4,6,9,12,18,36,251,502,753,1004,1506,2259,3012,4518,9036

Greatest Common Factor

We found the factors 1184,9036 . The biggest common factor number is the GCF number.
So the greatest common factor 1184,9036 is 4.

Lets's calculate LCM of 12,420

2 12, 420
2 6, 210
3 3, 105
1, 35

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 35 = 420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/420

Therefore, the GCF of Fractions 1184/12,9036/420 is 4/420

Least Common Multiple of 12,420 with GCF Formula

Least Common Multiple of 12,420 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 12,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,420) = 12

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

GCF(12,420) x common factors =12 x 1 = 12

LCM(12,420) = ( 12 × 420 ) / 12

LCM(12,420) = 5040 / 12

LCM(12,420) = 420


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 1184/12, 9036/420

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 1184/12, 9036/420?

Answer: GCF of Numerators as per given numbers 1184/12, 9036/420 is

GCF of Numerators i.e. for 1184,9036 is 4

LCM of denominators i.e. for 12,420 is 420.

Thus, GCF of Fractions is 4/420.Finally, GCF of Fractions for 1184/12, 9036/420 is 4/420.