Greatest Common Factor of 248/40, 344/7378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 248/40, 344/7378

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 248/40,344/7378

Given fractions are 248/40,344/7378

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 248,344

Greatest Common Factor of Numerators i.e. GCF of 248,344 is 8 .

LCM of Denominators means LCM of 40,7378 as per the given fractions.

LCM of 40,7378 is 147560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 248,344

GCF of Fractions 248/40,344/7378 is 8/147560

2 248, 344
2 124, 172
2 62, 86
31, 43

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

Greatest Common Factor of 248,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 248,344 By Matching Biggest Common Factor Method

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

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 248,344 . The biggest common factor number is the GCF number.
So the greatest common factor 248,344 is 8.

Lets's calculate LCM of 40,7378

2 40, 7378
20, 3689

∴ So the LCM of the given numbers is 2 x 20 x 3689 = 147560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/147560

Therefore, the GCF of Fractions 248/40,344/7378 is 8/147560

Least Common Multiple of 40,7378 with GCF Formula

Least Common Multiple of 40,7378 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 40,7378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,7378) = 2

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

GCF(40,7378) x common factors =2 x 1 = 2

LCM(40,7378) = ( 40 × 7378 ) / 2

LCM(40,7378) = 295120 / 2

LCM(40,7378) = 147560


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 248/40, 344/7378

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 248/40, 344/7378?

Answer: GCF of Numerators as per given numbers 248/40, 344/7378 is

GCF of Numerators i.e. for 248,344 is 8

LCM of denominators i.e. for 40,7378 is 147560.

Thus, GCF of Fractions is 8/147560.Finally, GCF of Fractions for 248/40, 344/7378 is 8/147560.