Greatest Common Factor of 904/118, 3214/3809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 904/118, 3214/3809

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 904/118,3214/3809

Given fractions are 904/118,3214/3809

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 904,3214

Greatest Common Factor of Numerators i.e. GCF of 904,3214 is 2 .

LCM of Denominators means LCM of 118,3809 as per the given fractions.

LCM of 118,3809 is 449462 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 904,3214

GCF of Fractions 904/118,3214/3809 is 2/449462

2 904, 3214
452, 1607

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 904,3214 By Matching Biggest Common Factor Method

Greatest Common Factor of 904,3214 By Matching Biggest Common Factor Method

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Factors of 3214

List of positive integer factors of 3214 that divides 3214 without a remainder.

1,2,1607,3214

Greatest Common Factor

We found the factors 904,3214 . The biggest common factor number is the GCF number.
So the greatest common factor 904,3214 is 2.

Lets's calculate LCM of 118,3809

Given numbers has no common factors except 1. So, there LCM is their product i.e 449462

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/449462

Therefore, the GCF of Fractions 904/118,3214/3809 is 2/449462

Least Common Multiple of 118,3809 with GCF Formula

Least Common Multiple of 118,3809 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 118,3809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(118,3809) = 1

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

GCF(118,3809) x common factors =1 x 1 = 1

LCM(118,3809) = ( 118 × 3809 ) / 1

LCM(118,3809) = 449462 / 1

LCM(118,3809) = 449462


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 904/118, 3214/3809

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 904/118, 3214/3809?

Answer: GCF of Numerators as per given numbers 904/118, 3214/3809 is

GCF of Numerators i.e. for 904,3214 is 2

LCM of denominators i.e. for 118,3809 is 449462.

Thus, GCF of Fractions is 2/449462.Finally, GCF of Fractions for 904/118, 3214/3809 is 2/449462.