Greatest Common Factor of 9413/48, 4109/631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9413/48, 4109/631

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 9413/48,4109/631

Given fractions are 9413/48,4109/631

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 9413,4109

Greatest Common Factor of Numerators i.e. GCF of 9413,4109 is 1 .

LCM of Denominators means LCM of 48,631 as per the given fractions.

LCM of 48,631 is 30288 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9413,4109

GCF of Fractions 9413/48,4109/631 is 1/30288

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9413,4109 By Matching Biggest Common Factor Method

Greatest Common Factor of 9413,4109 By Matching Biggest Common Factor Method

Factors of 9413

List of positive integer factors of 9413 that divides 9413 without a remainder.

1,9413

Factors of 4109

List of positive integer factors of 4109 that divides 4109 without a remainder.

1,7,587,4109

Greatest Common Factor

We found the factors 9413,4109 . The biggest common factor number is the GCF number.
So the greatest common factor 9413,4109 is 1.

Lets's calculate LCM of 48,631

Given numbers has no common factors except 1. So, there LCM is their product i.e 30288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30288

Therefore, the GCF of Fractions 9413/48,4109/631 is 1/30288

Least Common Multiple of 48,631 with GCF Formula

Least Common Multiple of 48,631 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 48,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,631) = 1

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

GCF(48,631) x common factors =1 x 1 = 1

LCM(48,631) = ( 48 × 631 ) / 1

LCM(48,631) = 30288 / 1

LCM(48,631) = 30288


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 9413/48, 4109/631

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 9413/48, 4109/631?

Answer: GCF of Numerators as per given numbers 9413/48, 4109/631 is

GCF of Numerators i.e. for 9413,4109 is 1

LCM of denominators i.e. for 48,631 is 30288.

Thus, GCF of Fractions is 1/30288.Finally, GCF of Fractions for 9413/48, 4109/631 is 1/30288.