Greatest Common Factor of 759/96, 289/14, 511/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 759/96, 289/14, 511/860

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 759/96,289/14,511/860

Given fractions are 759/96,289/14,511/860

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 759,289,511

Greatest Common Factor of Numerators i.e. GCF of 759,289,511 is 1 .

LCM of Denominators means LCM of 96,14,860 as per the given fractions.

LCM of 96,14,860 is 144480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 759,289,511

GCF of Fractions 759/96,289/14,511/860 is 1/144480

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 759,289,511 By Matching Biggest Common Factor Method

Greatest Common Factor of 759,289,511 By Matching Biggest Common Factor Method

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Factors of 511

List of positive integer factors of 511 that divides 511 without a remainder.

1,7,73,511

Greatest Common Factor

We found the factors 759,289,511 . The biggest common factor number is the GCF number.
So the greatest common factor 759,289,511 is 1.

Lets's calculate LCM of 96,14,860

2 96, 14, 860
2 48, 7, 430
24, 7, 215

∴ So the LCM of the given numbers is 2 x 2 x 24 x 7 x 215 = 144480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144480

Therefore, the GCF of Fractions 759/96,289/14,511/860 is 1/144480

Least Common Multiple of 96,14,860 with GCF Formula

Least Common Multiple of 96,14,860 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 96,14,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,14,860) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(96,14,860) x common factors =2 x 4 = 8

LCM(96,14,860) = ( 96 × 14 × 860 ) / 8

LCM(96,14,860) = 1155840 / 8

LCM(96,14,860) = 144480


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 759/96, 289/14, 511/860

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 759/96, 289/14, 511/860?

Answer: GCF of Numerators as per given numbers 759/96, 289/14, 511/860 is

GCF of Numerators i.e. for 759,289,511 is 1

LCM of denominators i.e. for 96,14,860 is 144480.

Thus, GCF of Fractions is 1/144480.Finally, GCF of Fractions for 759/96, 289/14, 511/860 is 1/144480.