Greatest Common Factor of 344/22, 6248/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 344/22, 6248/136

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 344/22,6248/136

Given fractions are 344/22,6248/136

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 344,6248

Greatest Common Factor of Numerators i.e. GCF of 344,6248 is 8 .

LCM of Denominators means LCM of 22,136 as per the given fractions.

LCM of 22,136 is 1496 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 344,6248

GCF of Fractions 344/22,6248/136 is 8/1496

2 344, 6248
2 172, 3124
2 86, 1562
43, 781

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

Greatest Common Factor of 344,6248 By Matching Biggest Common Factor Method

Greatest Common Factor of 344,6248 By Matching Biggest Common Factor Method

Factors of 344

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

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

Factors of 6248

List of positive integer factors of 6248 that divides 6248 without a remainder.

1,2,4,8,11,22,44,71,88,142,284,568,781,1562,3124,6248

Greatest Common Factor

We found the factors 344,6248 . The biggest common factor number is the GCF number.
So the greatest common factor 344,6248 is 8.

Lets's calculate LCM of 22,136

2 22, 136
11, 68

∴ So the LCM of the given numbers is 2 x 11 x 68 = 1496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1496

Therefore, the GCF of Fractions 344/22,6248/136 is 8/1496

Least Common Multiple of 22,136 with GCF Formula

Least Common Multiple of 22,136 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 22,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,136) = 2

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

GCF(22,136) x common factors =2 x 1 = 2

LCM(22,136) = ( 22 × 136 ) / 2

LCM(22,136) = 2992 / 2

LCM(22,136) = 1496


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 344/22, 6248/136

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 344/22, 6248/136?

Answer: GCF of Numerators as per given numbers 344/22, 6248/136 is

GCF of Numerators i.e. for 344,6248 is 8

LCM of denominators i.e. for 22,136 is 1496.

Thus, GCF of Fractions is 8/1496.Finally, GCF of Fractions for 344/22, 6248/136 is 8/1496.