Greatest Common Factor of 9847/398, 9618/9600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9847/398, 9618/9600

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 9847/398,9618/9600

Given fractions are 9847/398,9618/9600

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 9847,9618

Greatest Common Factor of Numerators i.e. GCF of 9847,9618 is 229 .

LCM of Denominators means LCM of 398,9600 as per the given fractions.

LCM of 398,9600 is 1910400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9847,9618

GCF of Fractions 9847/398,9618/9600 is 229/1910400

229 9847, 9618
43, 42

∴ So the GCF of the given numbers is 229 = 229

Greatest Common Factor of 9847,9618 By Matching Biggest Common Factor Method

Greatest Common Factor of 9847,9618 By Matching Biggest Common Factor Method

Factors of 9847

List of positive integer factors of 9847 that divides 9847 without a remainder.

1,43,229,9847

Factors of 9618

List of positive integer factors of 9618 that divides 9618 without a remainder.

1,2,3,6,7,14,21,42,229,458,687,1374,1603,3206,4809,9618

Greatest Common Factor

We found the factors 9847,9618 . The biggest common factor number is the GCF number.
So the greatest common factor 9847,9618 is 229.

Lets's calculate LCM of 398,9600

2 398, 9600
199, 4800

∴ So the LCM of the given numbers is 2 x 199 x 4800 = 1910400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 229/1910400

Therefore, the GCF of Fractions 9847/398,9618/9600 is 229/1910400

Least Common Multiple of 398,9600 with GCF Formula

Least Common Multiple of 398,9600 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 398,9600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,9600) = 2

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

GCF(398,9600) x common factors =2 x 1 = 2

LCM(398,9600) = ( 398 × 9600 ) / 2

LCM(398,9600) = 3820800 / 2

LCM(398,9600) = 1910400


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 9847/398, 9618/9600

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 9847/398, 9618/9600?

Answer: GCF of Numerators as per given numbers 9847/398, 9618/9600 is

GCF of Numerators i.e. for 9847,9618 is 229

LCM of denominators i.e. for 398,9600 is 1910400.

Thus, GCF of Fractions is 229/1910400.Finally, GCF of Fractions for 9847/398, 9618/9600 is 229/1910400.