Greatest Common Factor of 329/400, 9306/1185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 329/400, 9306/1185

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 329/400,9306/1185

Given fractions are 329/400,9306/1185

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 329,9306

Greatest Common Factor of Numerators i.e. GCF of 329,9306 is 47 .

LCM of Denominators means LCM of 400,1185 as per the given fractions.

LCM of 400,1185 is 94800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 329,9306

GCF of Fractions 329/400,9306/1185 is 47/94800

47 329, 9306
7, 198

∴ So the GCF of the given numbers is 47 = 47

Greatest Common Factor of 329,9306 By Matching Biggest Common Factor Method

Greatest Common Factor of 329,9306 By Matching Biggest Common Factor Method

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Factors of 9306

List of positive integer factors of 9306 that divides 9306 without a remainder.

1,2,3,6,9,11,18,22,33,47,66,94,99,141,198,282,423,517,846,1034,1551,3102,4653,9306

Greatest Common Factor

We found the factors 329,9306 . The biggest common factor number is the GCF number.
So the greatest common factor 329,9306 is 47.

Lets's calculate LCM of 400,1185

5 400, 1185
80, 237

∴ So the LCM of the given numbers is 5 x 80 x 237 = 94800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/94800

Therefore, the GCF of Fractions 329/400,9306/1185 is 47/94800

Least Common Multiple of 400,1185 with GCF Formula

Least Common Multiple of 400,1185 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 400,1185 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,1185) = 5

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

GCF(400,1185) x common factors =5 x 1 = 5

LCM(400,1185) = ( 400 × 1185 ) / 5

LCM(400,1185) = 474000 / 5

LCM(400,1185) = 94800


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 329/400, 9306/1185

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 329/400, 9306/1185?

Answer: GCF of Numerators as per given numbers 329/400, 9306/1185 is

GCF of Numerators i.e. for 329,9306 is 47

LCM of denominators i.e. for 400,1185 is 94800.

Thus, GCF of Fractions is 47/94800.Finally, GCF of Fractions for 329/400, 9306/1185 is 47/94800.