Greatest Common Factor of 247/38, 416/2366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 247/38, 416/2366

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 247/38,416/2366

Given fractions are 247/38,416/2366

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 247,416

Greatest Common Factor of Numerators i.e. GCF of 247,416 is 13 .

LCM of Denominators means LCM of 38,2366 as per the given fractions.

LCM of 38,2366 is 44954 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 247,416

GCF of Fractions 247/38,416/2366 is 13/44954

13 247, 416
19, 32

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 247,416 By Matching Biggest Common Factor Method

Greatest Common Factor of 247,416 By Matching Biggest Common Factor Method

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Greatest Common Factor

We found the factors 247,416 . The biggest common factor number is the GCF number.
So the greatest common factor 247,416 is 13.

Lets's calculate LCM of 38,2366

2 38, 2366
19, 1183

∴ So the LCM of the given numbers is 2 x 19 x 1183 = 44954

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/44954

Therefore, the GCF of Fractions 247/38,416/2366 is 13/44954

Least Common Multiple of 38,2366 with GCF Formula

Least Common Multiple of 38,2366 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 38,2366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,2366) = 2

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

GCF(38,2366) x common factors =2 x 1 = 2

LCM(38,2366) = ( 38 × 2366 ) / 2

LCM(38,2366) = 89908 / 2

LCM(38,2366) = 44954


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 247/38, 416/2366

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 247/38, 416/2366?

Answer: GCF of Numerators as per given numbers 247/38, 416/2366 is

GCF of Numerators i.e. for 247,416 is 13

LCM of denominators i.e. for 38,2366 is 44954.

Thus, GCF of Fractions is 13/44954.Finally, GCF of Fractions for 247/38, 416/2366 is 13/44954.