Greatest Common Factor of 32/69, 584/16, 994/394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 32/69, 584/16, 994/394

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 32/69,584/16,994/394

Given fractions are 32/69,584/16,994/394

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 32,584,994

Greatest Common Factor of Numerators i.e. GCF of 32,584,994 is 2 .

LCM of Denominators means LCM of 69,16,394 as per the given fractions.

LCM of 69,16,394 is 217488 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 32,584,994

GCF of Fractions 32/69,584/16,994/394 is 2/217488

2 32, 584, 994
16, 292, 497

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

Greatest Common Factor of 32,584,994 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,584,994 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Greatest Common Factor

We found the factors 32,584,994 . The biggest common factor number is the GCF number.
So the greatest common factor 32,584,994 is 2.

Lets's calculate LCM of 69,16,394

2 69, 16, 394
69, 8, 197

∴ So the LCM of the given numbers is 2 x 69 x 8 x 197 = 217488

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/217488

Therefore, the GCF of Fractions 32/69,584/16,994/394 is 2/217488

Least Common Multiple of 69,16,394 with GCF Formula

Least Common Multiple of 69,16,394 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 69,16,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,16,394) = 1

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

GCF(69,16,394) x common factors =1 x 2 = 2

LCM(69,16,394) = ( 69 × 16 × 394 ) / 2

LCM(69,16,394) = 434976 / 2

LCM(69,16,394) = 217488


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 32/69, 584/16, 994/394

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 32/69, 584/16, 994/394?

Answer: GCF of Numerators as per given numbers 32/69, 584/16, 994/394 is

GCF of Numerators i.e. for 32,584,994 is 2

LCM of denominators i.e. for 69,16,394 is 217488.

Thus, GCF of Fractions is 2/217488.Finally, GCF of Fractions for 32/69, 584/16, 994/394 is 2/217488.