Greatest Common Factor of 327/9218, 900/8470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 327/9218, 900/8470

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 327/9218,900/8470

Given fractions are 327/9218,900/8470

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 327,900

Greatest Common Factor of Numerators i.e. GCF of 327,900 is 3 .

LCM of Denominators means LCM of 9218,8470 as per the given fractions.

LCM of 9218,8470 is 3548930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 327,900

GCF of Fractions 327/9218,900/8470 is 3/3548930

3 327, 900
109, 300

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

Greatest Common Factor of 327,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 327,900 By Matching Biggest Common Factor Method

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 327,900 . The biggest common factor number is the GCF number.
So the greatest common factor 327,900 is 3.

Lets's calculate LCM of 9218,8470

2 9218, 8470
11 4609, 4235
419, 385

∴ So the LCM of the given numbers is 2 x 11 x 419 x 385 = 3548930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3548930

Therefore, the GCF of Fractions 327/9218,900/8470 is 3/3548930

Least Common Multiple of 9218,8470 with GCF Formula

Least Common Multiple of 9218,8470 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 9218,8470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9218,8470) = 22

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

GCF(9218,8470) x common factors =22 x 1 = 22

LCM(9218,8470) = ( 9218 × 8470 ) / 22

LCM(9218,8470) = 78076460 / 22

LCM(9218,8470) = 3548930


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 327/9218, 900/8470

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 327/9218, 900/8470?

Answer: GCF of Numerators as per given numbers 327/9218, 900/8470 is

GCF of Numerators i.e. for 327,900 is 3

LCM of denominators i.e. for 9218,8470 is 3548930.

Thus, GCF of Fractions is 3/3548930.Finally, GCF of Fractions for 327/9218, 900/8470 is 3/3548930.