Greatest Common Factor of 3848/476, 9165/3766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3848/476, 9165/3766

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 3848/476,9165/3766

Given fractions are 3848/476,9165/3766

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 3848,9165

Greatest Common Factor of Numerators i.e. GCF of 3848,9165 is 13 .

LCM of Denominators means LCM of 476,3766 as per the given fractions.

LCM of 476,3766 is 128044 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3848,9165

GCF of Fractions 3848/476,9165/3766 is 13/128044

13 3848, 9165
296, 705

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 3848,9165 By Matching Biggest Common Factor Method

Greatest Common Factor of 3848,9165 By Matching Biggest Common Factor Method

Factors of 3848

List of positive integer factors of 3848 that divides 3848 without a remainder.

1,2,4,8,13,26,37,52,74,104,148,296,481,962,1924,3848

Factors of 9165

List of positive integer factors of 9165 that divides 9165 without a remainder.

1,3,5,13,15,39,47,65,141,195,235,611,705,1833,3055,9165

Greatest Common Factor

We found the factors 3848,9165 . The biggest common factor number is the GCF number.
So the greatest common factor 3848,9165 is 13.

Lets's calculate LCM of 476,3766

2 476, 3766
7 238, 1883
34, 269

∴ So the LCM of the given numbers is 2 x 7 x 34 x 269 = 128044

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/128044

Therefore, the GCF of Fractions 3848/476,9165/3766 is 13/128044

Least Common Multiple of 476,3766 with GCF Formula

Least Common Multiple of 476,3766 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 476,3766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(476,3766) = 14

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

GCF(476,3766) x common factors =14 x 1 = 14

LCM(476,3766) = ( 476 × 3766 ) / 14

LCM(476,3766) = 1792616 / 14

LCM(476,3766) = 128044


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 3848/476, 9165/3766

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 3848/476, 9165/3766?

Answer: GCF of Numerators as per given numbers 3848/476, 9165/3766 is

GCF of Numerators i.e. for 3848,9165 is 13

LCM of denominators i.e. for 476,3766 is 128044.

Thus, GCF of Fractions is 13/128044.Finally, GCF of Fractions for 3848/476, 9165/3766 is 13/128044.