Greatest Common Factor of 288/816, 368/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 288/816, 368/704

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 288/816,368/704

Given fractions are 288/816,368/704

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 288,368

Greatest Common Factor of Numerators i.e. GCF of 288,368 is 16 .

LCM of Denominators means LCM of 816,704 as per the given fractions.

LCM of 816,704 is 35904 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 288,368

GCF of Fractions 288/816,368/704 is 16/35904

2 288, 368
2 144, 184
2 72, 92
2 36, 46
18, 23

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 288,368 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,368 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 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Greatest Common Factor

We found the factors 288,368 . The biggest common factor number is the GCF number.
So the greatest common factor 288,368 is 16.

Lets's calculate LCM of 816,704

2 816, 704
2 408, 352
2 204, 176
2 102, 88
51, 44

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 51 x 44 = 35904

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/35904

Therefore, the GCF of Fractions 288/816,368/704 is 16/35904

Least Common Multiple of 816,704 with GCF Formula

Least Common Multiple of 816,704 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 816,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(816,704) = 16

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

GCF(816,704) x common factors =16 x 1 = 16

LCM(816,704) = ( 816 × 704 ) / 16

LCM(816,704) = 574464 / 16

LCM(816,704) = 35904


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 288/816, 368/704

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 288/816, 368/704?

Answer: GCF of Numerators as per given numbers 288/816, 368/704 is

GCF of Numerators i.e. for 288,368 is 16

LCM of denominators i.e. for 816,704 is 35904.

Thus, GCF of Fractions is 16/35904.Finally, GCF of Fractions for 288/816, 368/704 is 16/35904.