Greatest Common Factor of 1514/517, 1152/1728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1514/517, 1152/1728

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 1514/517,1152/1728

Given fractions are 1514/517,1152/1728

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 1514,1152

Greatest Common Factor of Numerators i.e. GCF of 1514,1152 is 2 .

LCM of Denominators means LCM of 517,1728 as per the given fractions.

LCM of 517,1728 is 893376 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1514,1152

GCF of Fractions 1514/517,1152/1728 is 2/893376

2 1514, 1152
757, 576

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

Greatest Common Factor of 1514,1152 By Matching Biggest Common Factor Method

Greatest Common Factor of 1514,1152 By Matching Biggest Common Factor Method

Factors of 1514

List of positive integer factors of 1514 that divides 1514 without a remainder.

1,2,757,1514

Factors of 1152

List of positive integer factors of 1152 that divides 1152 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,288,384,576,1152

Greatest Common Factor

We found the factors 1514,1152 . The biggest common factor number is the GCF number.
So the greatest common factor 1514,1152 is 2.

Lets's calculate LCM of 517,1728

Given numbers has no common factors except 1. So, there LCM is their product i.e 893376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/893376

Therefore, the GCF of Fractions 1514/517,1152/1728 is 2/893376

Least Common Multiple of 517,1728 with GCF Formula

Least Common Multiple of 517,1728 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 517,1728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(517,1728) = 1

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

GCF(517,1728) x common factors =1 x 1 = 1

LCM(517,1728) = ( 517 × 1728 ) / 1

LCM(517,1728) = 893376 / 1

LCM(517,1728) = 893376


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 1514/517, 1152/1728

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 1514/517, 1152/1728?

Answer: GCF of Numerators as per given numbers 1514/517, 1152/1728 is

GCF of Numerators i.e. for 1514,1152 is 2

LCM of denominators i.e. for 517,1728 is 893376.

Thus, GCF of Fractions is 2/893376.Finally, GCF of Fractions for 1514/517, 1152/1728 is 2/893376.