Greatest Common Factor of 55/15, 589/38, 308/384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 55/15, 589/38, 308/384

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 55/15,589/38,308/384

Given fractions are 55/15,589/38,308/384

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 55,589,308

Greatest Common Factor of Numerators i.e. GCF of 55,589,308 is 1 .

LCM of Denominators means LCM of 15,38,384 as per the given fractions.

LCM of 15,38,384 is 36480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 55,589,308

GCF of Fractions 55/15,589/38,308/384 is 1/36480

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 55,589,308 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,589,308 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Greatest Common Factor

We found the factors 55,589,308 . The biggest common factor number is the GCF number.
So the greatest common factor 55,589,308 is 1.

Lets's calculate LCM of 15,38,384

2 15, 38, 384
3 15, 19, 192
5, 19, 64

∴ So the LCM of the given numbers is 2 x 3 x 5 x 19 x 64 = 36480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36480

Therefore, the GCF of Fractions 55/15,589/38,308/384 is 1/36480

Least Common Multiple of 15,38,384 with GCF Formula

Least Common Multiple of 15,38,384 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 15,38,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,38,384) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(15,38,384) x common factors =1 x 6 = 6

LCM(15,38,384) = ( 15 × 38 × 384 ) / 6

LCM(15,38,384) = 218880 / 6

LCM(15,38,384) = 36480


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 55/15, 589/38, 308/384

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 55/15, 589/38, 308/384?

Answer: GCF of Numerators as per given numbers 55/15, 589/38, 308/384 is

GCF of Numerators i.e. for 55,589,308 is 1

LCM of denominators i.e. for 15,38,384 is 36480.

Thus, GCF of Fractions is 1/36480.Finally, GCF of Fractions for 55/15, 589/38, 308/384 is 1/36480.