LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 738/529, 1728/681

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 738/529, 1728/681 i.e 18/360249 easily. The following is the detailed procedure to determine the greatest common factor of fractions 738/529, 1728/681.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 738/529,1728/681?

Given fractions are 738/529,1728/681

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 738/529,1728/681, numerators are 738,1728

Denominators are 529,681

The GCF of 738,1728 is 18 .

LCM of 529,681 is 360249.

The greatest common factor of 738/529,1728/681 = [GCF of 738,1728]/[LCM of 529,681]= 18/360249

Therefore, the GCF of 738/529,1728/681 is 18/360249.

Greatest Common Factor of 738,1728

To find the highest common factor of 738,1728, we have to find the factors of both numbers and list the highest common factor.

The factors of 738 are 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

The factors of 1728 are 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

The HCF of 738,1728 is 18.

Lets's calculate GCF of 738,1728

Greatest Common Factor (GCF) of 738,1728 By Common Division

2 738, 1728
3 369, 864
3 123, 288
41, 96

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 738,1728 By Matching Biggest Common Factor Method

Greatest Common Factor of 738,1728 By Matching Biggest Common Factor Method

Now, list down the factors of 738

:

1,2,3,6,9,18,41,82,123,246,369,738

Now, list down the factors of 1728

:

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

Greatest Common Factor

We found the factors 738,1728 . The biggest common factor number is the GCF number.
So the greatest common factor 738,1728 is 18.


Lets's calculate LCM of 529,681

Lowest Common Multiple of 529,681 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 360249

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/360249

Therefore, the GCF of Fractions 738/529,1728/681 is 18/360249

Least Common Multiple of 529,681 with GCF Formula

Least Common Multiple of 529,681 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 529,681 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(529,681) = 1

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

GCF(529,681) x common factors =1 x 1 = 1

LCM(529,681) = ( 529 × 681 ) / 1

LCM(529,681) = 360249 / 1

LCM(529,681) = 360249


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 738/529, 1728/681

1. What is the HCF of 738,1728?

The HCF of 738,1728 is 18

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 738/529, 1728/681?

Answer: GCF of Numerators as per given numbers 738/529, 1728/681 is

GCF of Numerators i.e. for 738,1728 is 18

LCM of denominators i.e. for 529,681 is 360249.

Thus, GCF of Fractions is 18/360249.Finally, GCF of Fractions for 738/529, 1728/681 is 18/360249.