Greatest Common Factor of 765/81, 3280/511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 765/81, 3280/511

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 765/81,3280/511

Given fractions are 765/81,3280/511

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 765,3280

Greatest Common Factor of Numerators i.e. GCF of 765,3280 is 5 .

LCM of Denominators means LCM of 81,511 as per the given fractions.

LCM of 81,511 is 41391 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 765,3280

GCF of Fractions 765/81,3280/511 is 5/41391

5 765, 3280
153, 656

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 765,3280 By Matching Biggest Common Factor Method

Greatest Common Factor of 765,3280 By Matching Biggest Common Factor Method

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Factors of 3280

List of positive integer factors of 3280 that divides 3280 without a remainder.

1,2,4,5,8,10,16,20,40,41,80,82,164,205,328,410,656,820,1640,3280

Greatest Common Factor

We found the factors 765,3280 . The biggest common factor number is the GCF number.
So the greatest common factor 765,3280 is 5.

Lets's calculate LCM of 81,511

Given numbers has no common factors except 1. So, there LCM is their product i.e 41391

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/41391

Therefore, the GCF of Fractions 765/81,3280/511 is 5/41391

Least Common Multiple of 81,511 with GCF Formula

Least Common Multiple of 81,511 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 81,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,511) = 1

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

GCF(81,511) x common factors =1 x 1 = 1

LCM(81,511) = ( 81 × 511 ) / 1

LCM(81,511) = 41391 / 1

LCM(81,511) = 41391


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 765/81, 3280/511

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 765/81, 3280/511?

Answer: GCF of Numerators as per given numbers 765/81, 3280/511 is

GCF of Numerators i.e. for 765,3280 is 5

LCM of denominators i.e. for 81,511 is 41391.

Thus, GCF of Fractions is 5/41391.Finally, GCF of Fractions for 765/81, 3280/511 is 5/41391.