Greatest Common Factor of 1728/51, 3855/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1728/51, 3855/175

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 1728/51,3855/175

Given fractions are 1728/51,3855/175

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 1728,3855

Greatest Common Factor of Numerators i.e. GCF of 1728,3855 is 3 .

LCM of Denominators means LCM of 51,175 as per the given fractions.

LCM of 51,175 is 8925 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1728,3855

GCF of Fractions 1728/51,3855/175 is 3/8925

3 1728, 3855
576, 1285

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1728,3855 By Matching Biggest Common Factor Method

Greatest Common Factor of 1728,3855 By Matching Biggest Common Factor Method

Factors of 1728

List of positive integer factors of 1728 that divides 1728 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,96,108,144,192,216,288,432,576,864,1728

Factors of 3855

List of positive integer factors of 3855 that divides 3855 without a remainder.

1,3,5,15,257,771,1285,3855

Greatest Common Factor

We found the factors 1728,3855 . The biggest common factor number is the GCF number.
So the greatest common factor 1728,3855 is 3.

Lets's calculate LCM of 51,175

Given numbers has no common factors except 1. So, there LCM is their product i.e 8925

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/8925

Therefore, the GCF of Fractions 1728/51,3855/175 is 3/8925

Least Common Multiple of 51,175 with GCF Formula

Least Common Multiple of 51,175 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 51,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,175) = 1

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

GCF(51,175) x common factors =1 x 1 = 1

LCM(51,175) = ( 51 × 175 ) / 1

LCM(51,175) = 8925 / 1

LCM(51,175) = 8925


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 1728/51, 3855/175

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 1728/51, 3855/175?

Answer: GCF of Numerators as per given numbers 1728/51, 3855/175 is

GCF of Numerators i.e. for 1728,3855 is 3

LCM of denominators i.e. for 51,175 is 8925.

Thus, GCF of Fractions is 3/8925.Finally, GCF of Fractions for 1728/51, 3855/175 is 3/8925.