Greatest Common Factor of 6804/90, 4186/358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6804/90, 4186/358

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 6804/90,4186/358

Given fractions are 6804/90,4186/358

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 6804,4186

Greatest Common Factor of Numerators i.e. GCF of 6804,4186 is 14 .

LCM of Denominators means LCM of 90,358 as per the given fractions.

LCM of 90,358 is 16110 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6804,4186

GCF of Fractions 6804/90,4186/358 is 14/16110

2 6804, 4186
7 3402, 2093
486, 299

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 6804,4186 By Matching Biggest Common Factor Method

Greatest Common Factor of 6804,4186 By Matching Biggest Common Factor Method

Factors of 6804

List of positive integer factors of 6804 that divides 6804 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,81,84,108,126,162,189,243,252,324,378,486,567,756,972,1134,1701,2268,3402,6804

Factors of 4186

List of positive integer factors of 4186 that divides 4186 without a remainder.

1,2,7,13,14,23,26,46,91,161,182,299,322,598,2093,4186

Greatest Common Factor

We found the factors 6804,4186 . The biggest common factor number is the GCF number.
So the greatest common factor 6804,4186 is 14.

Lets's calculate LCM of 90,358

2 90, 358
45, 179

∴ So the LCM of the given numbers is 2 x 45 x 179 = 16110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/16110

Therefore, the GCF of Fractions 6804/90,4186/358 is 14/16110

Least Common Multiple of 90,358 with GCF Formula

Least Common Multiple of 90,358 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 90,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,358) = 2

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

GCF(90,358) x common factors =2 x 1 = 2

LCM(90,358) = ( 90 × 358 ) / 2

LCM(90,358) = 32220 / 2

LCM(90,358) = 16110


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 6804/90, 4186/358

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 6804/90, 4186/358?

Answer: GCF of Numerators as per given numbers 6804/90, 4186/358 is

GCF of Numerators i.e. for 6804,4186 is 14

LCM of denominators i.e. for 90,358 is 16110.

Thus, GCF of Fractions is 14/16110.Finally, GCF of Fractions for 6804/90, 4186/358 is 14/16110.