Greatest Common Factor of 328/98, 784/42, 866/481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 328/98, 784/42, 866/481

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 328/98,784/42,866/481

Given fractions are 328/98,784/42,866/481

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 328,784,866

Greatest Common Factor of Numerators i.e. GCF of 328,784,866 is 2 .

LCM of Denominators means LCM of 98,42,481 as per the given fractions.

LCM of 98,42,481 is 141414 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 328,784,866

GCF of Fractions 328/98,784/42,866/481 is 2/141414

2 328, 784, 866
164, 392, 433

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

Greatest Common Factor of 328,784,866 By Matching Biggest Common Factor Method

Greatest Common Factor of 328,784,866 By Matching Biggest Common Factor Method

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

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 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Greatest Common Factor

We found the factors 328,784,866 . The biggest common factor number is the GCF number.
So the greatest common factor 328,784,866 is 2.

Lets's calculate LCM of 98,42,481

2 98, 42, 481
7 49, 21, 481
7, 3, 481

∴ So the LCM of the given numbers is 2 x 7 x 7 x 3 x 481 = 141414

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/141414

Therefore, the GCF of Fractions 328/98,784/42,866/481 is 2/141414

Least Common Multiple of 98,42,481 with GCF Formula

Least Common Multiple of 98,42,481 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 98,42,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,42,481) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(98,42,481) x common factors =1 x 14 = 14

LCM(98,42,481) = ( 98 × 42 × 481 ) / 14

LCM(98,42,481) = 1979796 / 14

LCM(98,42,481) = 141414


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 328/98, 784/42, 866/481

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 328/98, 784/42, 866/481?

Answer: GCF of Numerators as per given numbers 328/98, 784/42, 866/481 is

GCF of Numerators i.e. for 328,784,866 is 2

LCM of denominators i.e. for 98,42,481 is 141414.

Thus, GCF of Fractions is 2/141414.Finally, GCF of Fractions for 328/98, 784/42, 866/481 is 2/141414.