Greatest Common Factor of 3423/227, 9906/470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3423/227, 9906/470

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 3423/227,9906/470

Given fractions are 3423/227,9906/470

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 3423,9906

Greatest Common Factor of Numerators i.e. GCF of 3423,9906 is 3 .

LCM of Denominators means LCM of 227,470 as per the given fractions.

LCM of 227,470 is 106690 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3423,9906

GCF of Fractions 3423/227,9906/470 is 3/106690

3 3423, 9906
1141, 3302

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

Greatest Common Factor of 3423,9906 By Matching Biggest Common Factor Method

Greatest Common Factor of 3423,9906 By Matching Biggest Common Factor Method

Factors of 3423

List of positive integer factors of 3423 that divides 3423 without a remainder.

1,3,7,21,163,489,1141,3423

Factors of 9906

List of positive integer factors of 9906 that divides 9906 without a remainder.

1,2,3,6,13,26,39,78,127,254,381,762,1651,3302,4953,9906

Greatest Common Factor

We found the factors 3423,9906 . The biggest common factor number is the GCF number.
So the greatest common factor 3423,9906 is 3.

Lets's calculate LCM of 227,470

Given numbers has no common factors except 1. So, there LCM is their product i.e 106690

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/106690

Therefore, the GCF of Fractions 3423/227,9906/470 is 3/106690

Least Common Multiple of 227,470 with GCF Formula

Least Common Multiple of 227,470 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 227,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(227,470) = 1

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

GCF(227,470) x common factors =1 x 1 = 1

LCM(227,470) = ( 227 × 470 ) / 1

LCM(227,470) = 106690 / 1

LCM(227,470) = 106690


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 3423/227, 9906/470

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 3423/227, 9906/470?

Answer: GCF of Numerators as per given numbers 3423/227, 9906/470 is

GCF of Numerators i.e. for 3423,9906 is 3

LCM of denominators i.e. for 227,470 is 106690.

Thus, GCF of Fractions is 3/106690.Finally, GCF of Fractions for 3423/227, 9906/470 is 3/106690.