Greatest Common Factor of 304/90, 840/5508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 304/90, 840/5508

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 304/90,840/5508

Given fractions are 304/90,840/5508

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 304,840

Greatest Common Factor of Numerators i.e. GCF of 304,840 is 8 .

LCM of Denominators means LCM of 90,5508 as per the given fractions.

LCM of 90,5508 is 27540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 304,840

GCF of Fractions 304/90,840/5508 is 8/27540

2 304, 840
2 152, 420
2 76, 210
38, 105

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 304,840 By Matching Biggest Common Factor Method

Greatest Common Factor of 304,840 By Matching Biggest Common Factor Method

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Greatest Common Factor

We found the factors 304,840 . The biggest common factor number is the GCF number.
So the greatest common factor 304,840 is 8.

Lets's calculate LCM of 90,5508

2 90, 5508
3 45, 2754
3 15, 918
5, 306

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 306 = 27540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/27540

Therefore, the GCF of Fractions 304/90,840/5508 is 8/27540

Least Common Multiple of 90,5508 with GCF Formula

Least Common Multiple of 90,5508 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 90,5508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,5508) = 18

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

GCF(90,5508) x common factors =18 x 1 = 18

LCM(90,5508) = ( 90 × 5508 ) / 18

LCM(90,5508) = 495720 / 18

LCM(90,5508) = 27540


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 304/90, 840/5508

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 304/90, 840/5508?

Answer: GCF of Numerators as per given numbers 304/90, 840/5508 is

GCF of Numerators i.e. for 304,840 is 8

LCM of denominators i.e. for 90,5508 is 27540.

Thus, GCF of Fractions is 8/27540.Finally, GCF of Fractions for 304/90, 840/5508 is 8/27540.