Greatest Common Factor of 6/14, 33/28, 66/714, 294/898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6/14, 33/28, 66/714, 294/898

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 6/14,33/28,66/714,294/898

Given fractions are 6/14,33/28,66/714,294/898

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 6,33,66,294

Greatest Common Factor of Numerators i.e. GCF of 6,33,66,294 is 3 .

LCM of Denominators means LCM of 14,28,714,898 as per the given fractions.

LCM of 14,28,714,898 is 641172 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,33,66,294

GCF of Fractions 6/14,33/28,66/714,294/898 is 3/641172

3 6, 33, 66, 294
2, 11, 22, 98

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 6,33,66,294 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,33,66,294 By Matching Biggest Common Factor Method

Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1,2,3,6

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Greatest Common Factor

We found the factors 6,33,66,294 . The biggest common factor number is the GCF number.
So the greatest common factor 6,33,66,294 is 3.

Lets's calculate LCM of 14,28,714,898

2 14, 28, 714, 898
7 7, 14, 357, 449
1, 2, 51, 449

∴ So the LCM of the given numbers is 2 x 7 x 1 x 2 x 51 x 449 = 641172

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/641172

Therefore, the GCF of Fractions 6/14,33/28,66/714,294/898 is 3/641172

Least Common Multiple of 14,28,714,898 with GCF Formula

Least Common Multiple of 14,28,714,898 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 14,28,714,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,28,714,898) = 2

common factors(in case of two or more numbers have common factors) = 196

GCF(14,28,714,898) x common factors =2 x 196 = 392

LCM(14,28,714,898) = ( 14 × 28 × 714 × 898 ) / 392

LCM(14,28,714,898) = 251339424 / 392

LCM(14,28,714,898) = 641172


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 6/14, 33/28, 66/714, 294/898

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 6/14, 33/28, 66/714, 294/898?

Answer: GCF of Numerators as per given numbers 6/14, 33/28, 66/714, 294/898 is

GCF of Numerators i.e. for 6,33,66,294 is 3

LCM of denominators i.e. for 14,28,714,898 is 641172.

Thus, GCF of Fractions is 3/641172.Finally, GCF of Fractions for 6/14, 33/28, 66/714, 294/898 is 3/641172.