Greatest Common Factor of 784/204, 402/192, 562/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 784/204, 402/192, 562/231

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 784/204,402/192,562/231

Given fractions are 784/204,402/192,562/231

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 784,402,562

Greatest Common Factor of Numerators i.e. GCF of 784,402,562 is 2 .

LCM of Denominators means LCM of 204,192,231 as per the given fractions.

LCM of 204,192,231 is 251328 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 784,402,562

GCF of Fractions 784/204,402/192,562/231 is 2/251328

2 784, 402, 562
392, 201, 281

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

Greatest Common Factor of 784,402,562 By Matching Biggest Common Factor Method

Greatest Common Factor of 784,402,562 By Matching Biggest Common Factor Method

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Greatest Common Factor

We found the factors 784,402,562 . The biggest common factor number is the GCF number.
So the greatest common factor 784,402,562 is 2.

Lets's calculate LCM of 204,192,231

2 204, 192, 231
2 102, 96, 231
3 51, 48, 231
17, 16, 77

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 16 x 77 = 251328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/251328

Therefore, the GCF of Fractions 784/204,402/192,562/231 is 2/251328

Least Common Multiple of 204,192,231 with GCF Formula

Least Common Multiple of 204,192,231 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 204,192,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,192,231) = 3

common factors(in case of two or more numbers have common factors) = 12

GCF(204,192,231) x common factors =3 x 12 = 36

LCM(204,192,231) = ( 204 × 192 × 231 ) / 36

LCM(204,192,231) = 9047808 / 36

LCM(204,192,231) = 251328


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 784/204, 402/192, 562/231

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 784/204, 402/192, 562/231?

Answer: GCF of Numerators as per given numbers 784/204, 402/192, 562/231 is

GCF of Numerators i.e. for 784,402,562 is 2

LCM of denominators i.e. for 204,192,231 is 251328.

Thus, GCF of Fractions is 2/251328.Finally, GCF of Fractions for 784/204, 402/192, 562/231 is 2/251328.