Greatest Common Factor of 8048/225, 6804/5310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8048/225, 6804/5310

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 8048/225,6804/5310

Given fractions are 8048/225,6804/5310

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 8048,6804

Greatest Common Factor of Numerators i.e. GCF of 8048,6804 is 4 .

LCM of Denominators means LCM of 225,5310 as per the given fractions.

LCM of 225,5310 is 26550 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8048,6804

GCF of Fractions 8048/225,6804/5310 is 4/26550

2 8048, 6804
2 4024, 3402
2012, 1701

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 8048,6804 By Matching Biggest Common Factor Method

Greatest Common Factor of 8048,6804 By Matching Biggest Common Factor Method

Factors of 8048

List of positive integer factors of 8048 that divides 8048 without a remainder.

1,2,4,8,16,503,1006,2012,4024,8048

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

Greatest Common Factor

We found the factors 8048,6804 . The biggest common factor number is the GCF number.
So the greatest common factor 8048,6804 is 4.

Lets's calculate LCM of 225,5310

3 225, 5310
3 75, 1770
5 25, 590
5, 118

∴ So the LCM of the given numbers is 3 x 3 x 5 x 5 x 118 = 26550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/26550

Therefore, the GCF of Fractions 8048/225,6804/5310 is 4/26550

Least Common Multiple of 225,5310 with GCF Formula

Least Common Multiple of 225,5310 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 225,5310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(225,5310) = 45

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

GCF(225,5310) x common factors =45 x 1 = 45

LCM(225,5310) = ( 225 × 5310 ) / 45

LCM(225,5310) = 1194750 / 45

LCM(225,5310) = 26550


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 8048/225, 6804/5310

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 8048/225, 6804/5310?

Answer: GCF of Numerators as per given numbers 8048/225, 6804/5310 is

GCF of Numerators i.e. for 8048,6804 is 4

LCM of denominators i.e. for 225,5310 is 26550.

Thus, GCF of Fractions is 4/26550.Finally, GCF of Fractions for 8048/225, 6804/5310 is 4/26550.