Greatest Common Factor of 448/3931, 254/8387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 448/3931, 254/8387

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 448/3931,254/8387

Given fractions are 448/3931,254/8387

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 448,254

Greatest Common Factor of Numerators i.e. GCF of 448,254 is 2 .

LCM of Denominators means LCM of 3931,8387 as per the given fractions.

LCM of 3931,8387 is 32969297 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 448,254

GCF of Fractions 448/3931,254/8387 is 2/32969297

2 448, 254
224, 127

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

Greatest Common Factor of 448,254 By Matching Biggest Common Factor Method

Greatest Common Factor of 448,254 By Matching Biggest Common Factor Method

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Greatest Common Factor

We found the factors 448,254 . The biggest common factor number is the GCF number.
So the greatest common factor 448,254 is 2.

Lets's calculate LCM of 3931,8387

Given numbers has no common factors except 1. So, there LCM is their product i.e 32969297

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32969297

Therefore, the GCF of Fractions 448/3931,254/8387 is 2/32969297

Least Common Multiple of 3931,8387 with GCF Formula

Least Common Multiple of 3931,8387 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 3931,8387 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3931,8387) = 1

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

GCF(3931,8387) x common factors =1 x 1 = 1

LCM(3931,8387) = ( 3931 × 8387 ) / 1

LCM(3931,8387) = 32969297 / 1

LCM(3931,8387) = 32969297


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 448/3931, 254/8387

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 448/3931, 254/8387?

Answer: GCF of Numerators as per given numbers 448/3931, 254/8387 is

GCF of Numerators i.e. for 448,254 is 2

LCM of denominators i.e. for 3931,8387 is 32969297.

Thus, GCF of Fractions is 2/32969297.Finally, GCF of Fractions for 448/3931, 254/8387 is 2/32969297.