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GCF of 240/780, 110/729

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 240/780, 110/729 i.e 10/189540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 240/780, 110/729.

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 240/780,110/729?

Given fractions are 240/780,110/729

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 240/780,110/729, numerators are 240,110

Denominators are 780,729

The GCF of 240,110 is 10 .

LCM of 780,729 is 189540.

The greatest common factor of 240/780,110/729 = [GCF of 240,110]/[LCM of 780,729]= 10/189540

Therefore, the GCF of 240/780,110/729 is 10/189540.

Greatest Common Factor of 240,110

To find the highest common factor of 240,110, we have to find the factors of both numbers and list the highest common factor.

The factors of 240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

The factors of 110 are 1, 2, 5, 10, 11, 22, 55, 110

The HCF of 240,110 is 10.

Lets's calculate GCF of 240,110

Greatest Common Factor (GCF) of 240,110 By Common Division

2 240, 110
5 120, 55
24, 11

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 240,110 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,110 By Matching Biggest Common Factor Method

Now, list down the factors of 240

:

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Now, list down the factors of 110

:

1,2,5,10,11,22,55,110

Greatest Common Factor

We found the factors 240,110 . The biggest common factor number is the GCF number.
So the greatest common factor 240,110 is 10.


Lets's calculate LCM of 780,729

Lowest Common Multiple of 780,729 using Common Division

3 780, 729
260, 243

∴ So the LCM of the given numbers is 3 x 260 x 243 = 189540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/189540

Therefore, the GCF of Fractions 240/780,110/729 is 10/189540

Least Common Multiple of 780,729 with GCF Formula

Least Common Multiple of 780,729 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 780,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,729) = 3

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

GCF(780,729) x common factors =3 x 1 = 3

LCM(780,729) = ( 780 × 729 ) / 3

LCM(780,729) = 568620 / 3

LCM(780,729) = 189540


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 240/780, 110/729

1. What is the HCF of 240,110?

The HCF of 240,110 is 10

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 240/780, 110/729?

Answer: GCF of Numerators as per given numbers 240/780, 110/729 is

GCF of Numerators i.e. for 240,110 is 10

LCM of denominators i.e. for 780,729 is 189540.

Thus, GCF of Fractions is 10/189540.Finally, GCF of Fractions for 240/780, 110/729 is 10/189540.