Greatest Common Factor of 288/18, 560/14, 694/965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 288/18, 560/14, 694/965

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 288/18,560/14,694/965

Given fractions are 288/18,560/14,694/965

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 288,560,694

Greatest Common Factor of Numerators i.e. GCF of 288,560,694 is 2 .

LCM of Denominators means LCM of 18,14,965 as per the given fractions.

LCM of 18,14,965 is 121590 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 288,560,694

GCF of Fractions 288/18,560/14,694/965 is 2/121590

2 288, 560, 694
144, 280, 347

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

Greatest Common Factor of 288,560,694 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,560,694 By Matching Biggest Common Factor Method

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Greatest Common Factor

We found the factors 288,560,694 . The biggest common factor number is the GCF number.
So the greatest common factor 288,560,694 is 2.

Lets's calculate LCM of 18,14,965

2 18, 14, 965
9, 7, 965

∴ So the LCM of the given numbers is 2 x 9 x 7 x 965 = 121590

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/121590

Therefore, the GCF of Fractions 288/18,560/14,694/965 is 2/121590

Least Common Multiple of 18,14,965 with GCF Formula

Least Common Multiple of 18,14,965 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 18,14,965 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,14,965) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(18,14,965) x common factors =1 x 2 = 2

LCM(18,14,965) = ( 18 × 14 × 965 ) / 2

LCM(18,14,965) = 243180 / 2

LCM(18,14,965) = 121590


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 288/18, 560/14, 694/965

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 288/18, 560/14, 694/965?

Answer: GCF of Numerators as per given numbers 288/18, 560/14, 694/965 is

GCF of Numerators i.e. for 288,560,694 is 2

LCM of denominators i.e. for 18,14,965 is 121590.

Thus, GCF of Fractions is 2/121590.Finally, GCF of Fractions for 288/18, 560/14, 694/965 is 2/121590.