Greatest Common Factor of 408/448, 344/178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 408/448, 344/178

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 408/448,344/178

Given fractions are 408/448,344/178

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 408,344

Greatest Common Factor of Numerators i.e. GCF of 408,344 is 8 .

LCM of Denominators means LCM of 448,178 as per the given fractions.

LCM of 448,178 is 39872 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 408,344

GCF of Fractions 408/448,344/178 is 8/39872

2 408, 344
2 204, 172
2 102, 86
51, 43

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 408,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 408,344 By Matching Biggest Common Factor Method

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 408,344 . The biggest common factor number is the GCF number.
So the greatest common factor 408,344 is 8.

Lets's calculate LCM of 448,178

2 448, 178
224, 89

∴ So the LCM of the given numbers is 2 x 224 x 89 = 39872

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/39872

Therefore, the GCF of Fractions 408/448,344/178 is 8/39872

Least Common Multiple of 448,178 with GCF Formula

Least Common Multiple of 448,178 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 448,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(448,178) = 2

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

GCF(448,178) x common factors =2 x 1 = 2

LCM(448,178) = ( 448 × 178 ) / 2

LCM(448,178) = 79744 / 2

LCM(448,178) = 39872


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 408/448, 344/178

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 408/448, 344/178?

Answer: GCF of Numerators as per given numbers 408/448, 344/178 is

GCF of Numerators i.e. for 408,344 is 8

LCM of denominators i.e. for 448,178 is 39872.

Thus, GCF of Fractions is 8/39872.Finally, GCF of Fractions for 408/448, 344/178 is 8/39872.