Greatest Common Factor of 2434/461, 3190/9165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2434/461, 3190/9165

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 2434/461,3190/9165

Given fractions are 2434/461,3190/9165

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 2434,3190

Greatest Common Factor of Numerators i.e. GCF of 2434,3190 is 2 .

LCM of Denominators means LCM of 461,9165 as per the given fractions.

LCM of 461,9165 is 4225065 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2434,3190

GCF of Fractions 2434/461,3190/9165 is 2/4225065

2 2434, 3190
1217, 1595

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

Greatest Common Factor of 2434,3190 By Matching Biggest Common Factor Method

Greatest Common Factor of 2434,3190 By Matching Biggest Common Factor Method

Factors of 2434

List of positive integer factors of 2434 that divides 2434 without a remainder.

1,2,1217,2434

Factors of 3190

List of positive integer factors of 3190 that divides 3190 without a remainder.

1,2,5,10,11,22,29,55,58,110,145,290,319,638,1595,3190

Greatest Common Factor

We found the factors 2434,3190 . The biggest common factor number is the GCF number.
So the greatest common factor 2434,3190 is 2.

Lets's calculate LCM of 461,9165

Given numbers has no common factors except 1. So, there LCM is their product i.e 4225065

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4225065

Therefore, the GCF of Fractions 2434/461,3190/9165 is 2/4225065

Least Common Multiple of 461,9165 with GCF Formula

Least Common Multiple of 461,9165 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 461,9165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(461,9165) = 1

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

GCF(461,9165) x common factors =1 x 1 = 1

LCM(461,9165) = ( 461 × 9165 ) / 1

LCM(461,9165) = 4225065 / 1

LCM(461,9165) = 4225065


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 2434/461, 3190/9165

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 2434/461, 3190/9165?

Answer: GCF of Numerators as per given numbers 2434/461, 3190/9165 is

GCF of Numerators i.e. for 2434,3190 is 2

LCM of denominators i.e. for 461,9165 is 4225065.

Thus, GCF of Fractions is 2/4225065.Finally, GCF of Fractions for 2434/461, 3190/9165 is 2/4225065.